Sequence Database

A database with 1693109 machine generated integer and decimal sequences.

Displaying result 0-99 of total 18053. [0] [1] [2] [3] [4] ... [180]

Sequence ivsemuk13zcvh

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, more...

integer, strictly-monotonic, +, A052382

a(n)=comp[10*n]
comp(a)=complement function of a (in range)
n≥0
4 operations
Arithmetic
a(n)=comp[lcm(n, 10)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
4 operations
Divisibility
a(n)=comp[10+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[10*stern(n)]
stern(n)=Stern-Brocot sequence
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[10*Ω(n)]
Ω(n)=max distinct factors of n
comp(a)=complement function of a (in range)
n≥1
5 operations
Prime

Sequence dbgz5ugdomvgh

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +, A168183

a(n)=comp[9*n]
comp(a)=complement function of a (in range)
n≥0
4 operations
Arithmetic
a(n)=comp[lcm(n, 9)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
4 operations
Divisibility
a(n)=comp[9+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[9*stern(n)]
stern(n)=Stern-Brocot sequence
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[9*Ω(n)]
Ω(n)=max distinct factors of n
comp(a)=complement function of a (in range)
n≥1
5 operations
Prime

Sequence mw5m5nzxshyap

1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 49, 50, more...

integer, strictly-monotonic, +, A047592

a(n)=comp[8*n]
comp(a)=complement function of a (in range)
n≥0
4 operations
Arithmetic
a(n)=comp[lcm(n, 8)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
4 operations
Divisibility
a(n)=comp[8+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[and(n, -8)]
and(a,b)=bitwise and
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise
a(n)=comp[8*stern(n)]
stern(n)=Stern-Brocot sequence
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence cwe2dpfgtuaap

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 50, more...

integer, strictly-monotonic, +, A047304

a(n)=comp[7*n]
comp(a)=complement function of a (in range)
n≥0
4 operations
Arithmetic
a(n)=comp[lcm(n, 7)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
4 operations
Divisibility
a(n)=comp[7+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[7*stern(n)]
stern(n)=Stern-Brocot sequence
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[∑[xor(7, a(n-1))]]
a(0)=0
xor(a,b)=bitwise exclusive or
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence 101scizvasete

1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 49, 50, more...

integer, strictly-monotonic, +, A039215

a(n)=comp[6*n]
comp(a)=complement function of a (in range)
n≥0
4 operations
Arithmetic
a(n)=comp[lcm(n, 6)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
4 operations
Divisibility
a(n)=comp[6+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[6*stern(n)]
stern(n)=Stern-Brocot sequence
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[∑[xor(6, a(n-1))]]
a(0)=0
xor(a,b)=bitwise exclusive or
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence 2ujqdclsceafp

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 49, more...

integer, strictly-monotonic, +, A039116

a(n)=comp[5*n]
comp(a)=complement function of a (in range)
n≥0
4 operations
Arithmetic
a(n)=comp[lcm(n, 5)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
4 operations
Divisibility
a(n)=comp[5+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[5*stern(n)]
stern(n)=Stern-Brocot sequence
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[∑[xor(5, a(n-1))]]
a(0)=0
xor(a,b)=bitwise exclusive or
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence dzai5u2gp2yi

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 28, 29, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 44, 45, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[or(10, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
4 operations
Bitwise

Sequence 2qapv330z3kcm

0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 44, 46, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[or(9, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
4 operations
Bitwise

Sequence 1efbwh1ctyy1m

0, 1, 2, 3, 4, 5, 6, 7, 16, 17, 18, 19, 20, 21, 22, 23, 32, 33, 34, 35, 36, 37, 38, 39, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[or(8, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
4 operations
Bitwise

Sequence l1irtfilu1rcn

0, 1, 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 20, 21, 24, 25, 26, 27, 28, 29, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 45, 48, 49, 50, more...

integer, strictly-monotonic, +, A047602

a(n)=comp[or(6, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
4 operations
Bitwise

Sequence feci5a4x1rg4p

0, 1, 2, 3, 4, 6, 8, 9, 10, 11, 12, 14, 16, 17, 18, 19, 20, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 40, 41, 42, 43, 44, 46, 48, 49, 50, more...

integer, strictly-monotonic, +, A047420

a(n)=comp[or(5, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
4 operations
Bitwise

Sequence nv3d1oxddgycl

-46, -47, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[n-5]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence 5xt5wmxdrfyk

-45, -46, -47, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[n-6]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence bhpdfolrjjxbj

-44, -45, -46, -47, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[n-7]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence fzblyofpfyiap

-43, -44, -45, -46, -47, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[n-8]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence bvpgazflhpqjf

-42, -43, -44, -45, -46, -47, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[n-9]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence suexm0k5amgh

-41, -42, -43, -44, -45, -46, -47, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[n-10]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence 4u1kfdfsg0vym

-1, -2, -3, -5, -6, -7, -9, -10, -11, -13, -14, -15, -17, -18, -19, -21, -22, -23, -25, -26, -27, -29, -30, -31, -33, -34, -35, -37, -38, -39, -41, -42, -43, -45, -46, -47, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[4*n]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=-comp[lcm(n, 4)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
5 operations
Divisibility
a(n)=-comp[4+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence 05w5bwjh5l31f

-1, -2, -3, -4, -6, -7, -8, -9, -11, -12, -13, -14, -16, -17, -18, -19, -21, -22, -23, -24, -26, -27, -28, -29, -31, -32, -33, -34, -36, -37, -38, -39, -41, -42, -43, -44, -46, -47, -48, -49, more...

integer, strictly-monotonic, -

a(n)=-comp[5*n]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=-comp[lcm(n, 5)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
5 operations
Divisibility
a(n)=-comp[5+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence 2trvwg13yb54p

-1, -2, -3, -4, -5, -7, -8, -9, -10, -11, -13, -14, -15, -16, -17, -19, -20, -21, -22, -23, -25, -26, -27, -28, -29, -31, -32, -33, -34, -35, -37, -38, -39, -40, -41, -43, -44, -45, -46, -47, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[6*n]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=-comp[lcm(n, 6)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
5 operations
Divisibility
a(n)=-comp[6+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence eaaajtj103wqc

-1, -2, -3, -4, -5, -6, -8, -9, -10, -11, -12, -13, -15, -16, -17, -18, -19, -20, -22, -23, -24, -25, -26, -27, -29, -30, -31, -32, -33, -34, -36, -37, -38, -39, -40, -41, -43, -44, -45, -46, -47, -48, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[7*n]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=-comp[lcm(n, 7)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
5 operations
Divisibility
a(n)=-comp[7+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence eepbyllltotxl

-1, -2, -3, -4, -5, -6, -7, -9, -10, -11, -12, -13, -14, -15, -17, -18, -19, -20, -21, -22, -23, -25, -26, -27, -28, -29, -30, -31, -33, -34, -35, -36, -37, -38, -39, -41, -42, -43, -44, -45, -46, -47, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[8*n]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=-comp[lcm(n, 8)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
5 operations
Divisibility
a(n)=-comp[8+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence g2zxl01y3awil

-1, -2, -3, -4, -5, -6, -7, -8, -10, -11, -12, -13, -14, -15, -16, -17, -19, -20, -21, -22, -23, -24, -25, -26, -28, -29, -30, -31, -32, -33, -34, -35, -37, -38, -39, -40, -41, -42, -43, -44, -46, -47, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[9*n]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=-comp[lcm(n, 9)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
5 operations
Divisibility
a(n)=-comp[9+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence zod2nniuaxjeb

-1, -2, -3, -4, -5, -6, -7, -8, -9, -11, -12, -13, -14, -15, -16, -17, -18, -19, -21, -22, -23, -24, -25, -26, -27, -28, -29, -31, -32, -33, -34, -35, -36, -37, -38, -39, -41, -42, -43, -44, -45, -46, -47, -48, -49, more...

integer, strictly-monotonic, -

a(n)=-comp[10*n]
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=-comp[lcm(n, 10)]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
n≥0
5 operations
Divisibility
a(n)=-comp[10+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence aoqhv0uanncfl

0.3333333333333333, 1, 1.6666666666666667, 2.3333333333333335, 3, 3.6666666666666665, 4.333333333333333, 5, 5.666666666666667, 6.333333333333333, 7, 7.666666666666667, 8.333333333333334, 9, 9.666666666666666, 10.333333333333334, 11, 11.666666666666666, 12.333333333333334, 13, 13.666666666666666, 14.333333333333334, 15, 15.666666666666666, 16.333333333333332, more...

decimal, strictly-monotonic, +

a(n)=Δ[n²]/3
Δ(a)=differences of a
n≥0
5 operations
Power
a(n)=comp[2*n]/3
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=comp[2+a(n-1)]/3
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive
a(n)=xor(1, 2*n)/3
xor(a,b)=bitwise exclusive or
n≥0
7 operations
Bitwise

Sequence nt0fxus52uzfi

1, 0.3333333333333333, 0.2, 0.14285714285714285, 0.1111111111111111, 0.09090909090909091, 0.07692307692307693, 0.06666666666666667, 0.058823529411764705, 0.05263157894736842, 0.047619047619047616, 0.043478260869565216, 0.04, 0.037037037037037035, 0.034482758620689655, 0.03225806451612903, 0.030303030303030304, 0.02857142857142857, 0.02702702702702703, 0.02564102564102564, 0.024390243902439025, 0.023255813953488372, 0.022222222222222223, 0.02127659574468085, 0.02040816326530612, more...

decimal, strictly-monotonic, convergent, +

a(n)=1/Δ[n²]
Δ(a)=differences of a
n≥0
5 operations
Power
a(n)=1/comp[2*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=1/comp[2+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive
a(n)=1/xor(1, 2*n)
xor(a,b)=bitwise exclusive or
n≥0
7 operations
Bitwise

Sequence r3c0p44riudip

2, 0.6666666666666666, 0.4, 0.2857142857142857, 0.2222222222222222, 0.18181818181818182, 0.15384615384615385, 0.13333333333333333, 0.11764705882352941, 0.10526315789473684, 0.09523809523809523, 0.08695652173913043, 0.08, 0.07407407407407407, 0.06896551724137931, 0.06451612903225806, 0.06060606060606061, 0.05714285714285714, 0.05405405405405406, 0.05128205128205128, 0.04878048780487805, 0.046511627906976744, 0.044444444444444446, 0.0425531914893617, 0.04081632653061224, more...

decimal, strictly-monotonic, convergent, +

a(n)=2/Δ[n²]
Δ(a)=differences of a
n≥0
5 operations
Power
a(n)=2/comp[2*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=2/comp[2+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive
a(n)=2/xor(1, 2*n)
xor(a,b)=bitwise exclusive or
n≥0
7 operations
Bitwise

Sequence s3nsa2xi4in0m

3, 1, 0.6, 0.42857142857142855, 0.3333333333333333, 0.2727272727272727, 0.23076923076923078, 0.2, 0.17647058823529413, 0.15789473684210525, 0.14285714285714285, 0.13043478260869565, 0.12, 0.1111111111111111, 0.10344827586206896, 0.0967741935483871, 0.09090909090909091, 0.08571428571428572, 0.08108108108108109, 0.07692307692307693, 0.07317073170731707, 0.06976744186046512, 0.06666666666666667, 0.06382978723404255, 0.061224489795918366, more...

decimal, strictly-monotonic, convergent, +

a(n)=3/Δ[n²]
Δ(a)=differences of a
n≥0
5 operations
Power
a(n)=3/comp[2*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=3/comp[2+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive
a(n)=3/xor(1, 2*n)
xor(a,b)=bitwise exclusive or
n≥0
7 operations
Bitwise

Sequence jcjtuhj2bwiuo

0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 47, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[3*(3+n)]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic

Sequence s435k5t1ha1pp

0, 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 47, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[3*(2+n)]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic

Sequence yz4jqdqofalgn

0.3333333333333333, 0.6666666666666666, 1.3333333333333333, 1.6666666666666667, 2.3333333333333335, 2.6666666666666665, 3.3333333333333335, 3.6666666666666665, 4.333333333333333, 4.666666666666667, 5.333333333333333, 5.666666666666667, 6.333333333333333, 6.666666666666667, 7.333333333333333, 7.666666666666667, 8.333333333333334, 8.666666666666666, 9.333333333333334, 9.666666666666666, 10.333333333333334, 10.666666666666666, 11.333333333333334, 11.666666666666666, 12.333333333333334, more...

decimal, strictly-monotonic, +

a(n)=comp[3*n]/3
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=comp[3+a(n-1)]/3
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence vg35pptckgoqf

0.5, 1, 2, 2.5, 3.5, 4, 5, 5.5, 6.5, 7, 8, 8.5, 9.5, 10, 11, 11.5, 12.5, 13, 14, 14.5, 15.5, 16, 17, 17.5, 18.5, more...

decimal, strictly-monotonic, +

a(n)=comp[3*n]/2
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=comp[3+a(n-1)]/2
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence ompau4d3lzgjk

1, 0.5, 0.25, 0.2, 0.14285714285714285, 0.125, 0.1, 0.09090909090909091, 0.07692307692307693, 0.07142857142857142, 0.0625, 0.058823529411764705, 0.05263157894736842, 0.05, 0.045454545454545456, 0.043478260869565216, 0.04, 0.038461538461538464, 0.03571428571428571, 0.034482758620689655, 0.03225806451612903, 0.03125, 0.029411764705882353, 0.02857142857142857, 0.02702702702702703, more...

decimal, strictly-monotonic, +

a(n)=1/comp[3*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=1/comp[3+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence 0rhuod5yewazh

2, 1, 0.5, 0.4, 0.2857142857142857, 0.25, 0.2, 0.18181818181818182, 0.15384615384615385, 0.14285714285714285, 0.125, 0.11764705882352941, 0.10526315789473684, 0.1, 0.09090909090909091, 0.08695652173913043, 0.08, 0.07692307692307693, 0.07142857142857142, 0.06896551724137931, 0.06451612903225806, 0.0625, 0.058823529411764705, 0.05714285714285714, 0.05405405405405406, more...

decimal, strictly-monotonic, +

a(n)=2/comp[3*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=2/comp[3+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence ooy1az43go2mn

3, 1.5, 0.75, 0.6, 0.42857142857142855, 0.375, 0.3, 0.2727272727272727, 0.23076923076923078, 0.21428571428571427, 0.1875, 0.17647058823529413, 0.15789473684210525, 0.15, 0.13636363636363635, 0.13043478260869565, 0.12, 0.11538461538461539, 0.10714285714285714, 0.10344827586206896, 0.0967741935483871, 0.09375, 0.08823529411764706, 0.08571428571428572, 0.08108108108108109, more...

decimal, strictly-monotonic, +

a(n)=3/comp[3*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=3/comp[3+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence fr2vrw3ou3svb

0, 2, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[3^n]
comp(a)=complement function of a (in range)
n≥0
4 operations
Power
a(n)=comp[3*a(n-1)]
a(0)=1
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[∏[gcd(n, 3)]]
gcd(a,b)=greatest common divisor
∏(a)=partial products of a
comp(a)=complement function of a (in range)
n≥1
5 operations
Divisibility
a(n)=comp[3^stern(n)]
stern(n)=Stern-Brocot sequence
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[∏[xor(2, a(n-1))]]
a(0)=1
xor(a,b)=bitwise exclusive or
∏(a)=partial products of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence ukwrgx0rc1rmp

0, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +, A057716

a(n)=comp[2^n]
comp(a)=complement function of a (in range)
n≥0
4 operations
Power
a(n)=comp[2*a(n-1)]
a(0)=1
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[2^stern(n)]
stern(n)=Stern-Brocot sequence
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[and(n, -a(n-1))]
a(0)=1
and(a,b)=bitwise and
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[∏[xor(3, a(n-1))]]
a(0)=1
xor(a,b)=bitwise exclusive or
∏(a)=partial products of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence djysxxjojlsmn

2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +, A007412

a(n)=comp[n^3]
comp(a)=complement function of a (in range)
n≥0
4 operations
Power
a(n)=comp[stern(n)^3]
stern(n)=Stern-Brocot sequence
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[Ω(n)^3]
Ω(n)=max distinct factors of n
comp(a)=complement function of a (in range)
n≥1
5 operations
Prime

Sequence 5h0kuhbszlbai

0, -1, -2, -3, -4, -6, -8, -9, -10, -11, -12, -14, -16, -17, -18, -19, -20, -22, -24, -25, -26, -27, -28, -30, -32, -33, -34, -35, -36, -38, -40, -41, -42, -43, -44, -46, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[or(5, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence pcva2bygmzpwb

0, -1, -2, -3, -4, -5, -8, -9, -10, -11, -12, -13, -16, -17, -18, -19, -20, -21, -24, -25, -26, -27, -28, -29, -32, -33, -34, -35, -36, -37, -40, -41, -42, -43, -44, -45, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[or(6, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence pjpmccteygi4f

0, -1, -2, -3, -4, -5, -6, -8, -9, -10, -11, -12, -13, -14, -16, -17, -18, -19, -20, -21, -22, -24, -25, -26, -27, -28, -29, -30, -32, -33, -34, -35, -36, -37, -38, -40, -41, -42, -43, -44, -45, -46, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[or(7, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence v2qjpkya3sieb

0, -1, -2, -3, -4, -5, -6, -7, -16, -17, -18, -19, -20, -21, -22, -23, -32, -33, -34, -35, -36, -37, -38, -39, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[or(8, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence hocryjotqukin

0, -1, -2, -3, -4, -5, -6, -7, -8, -10, -12, -14, -16, -17, -18, -19, -20, -21, -22, -23, -24, -26, -28, -30, -32, -33, -34, -35, -36, -37, -38, -39, -40, -42, -44, -46, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[or(9, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence kpsdh2wdcfkvb

0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -12, -13, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -28, -29, -32, -33, -34, -35, -36, -37, -38, -39, -40, -41, -44, -45, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[or(10, n)]
or(a,b)=bitwise or
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence 42m1awvipkbon

1, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 25, 27, 28, 29, 30, 31, 33, 35, 36, 37, 38, 39, 41, 43, 44, 45, 46, 47, 49, more...

integer, strictly-monotonic, +, A047564

a(n)=comp[and(n, -6)]
and(a,b)=bitwise and
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence kuk4rswbav3zl

1, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 35, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, more...

integer, strictly-monotonic, +

a(n)=comp[and(n, -10)]
and(a,b)=bitwise and
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence zgiekvnvj4eyf

2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 42, 43, 44, 45, 46, 47, 50, more...

integer, strictly-monotonic, +, A047593

a(n)=comp[and(n, -7)]
and(a,b)=bitwise and
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence l05htsg32xbtm

8, 9, 10, 11, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30, 31, 40, 41, 42, 43, 44, 45, 46, 47, more...

integer, strictly-monotonic, +, A115419

a(n)=comp[and(n, -9)]
and(a,b)=bitwise and
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence z544hbfxogbni

0, 0.3333333333333333, 0.4, 0.42857142857142855, 0.4444444444444444, 0.45454545454545453, 0.46153846153846156, 0.4666666666666667, 0.47058823529411764, 0.47368421052631576, 0.47619047619047616, 0.4782608695652174, 0.48, 0.48148148148148145, 0.4827586206896552, 0.4838709677419355, 0.48484848484848486, 0.4857142857142857, 0.4864864864864865, 0.48717948717948717, 0.4878048780487805, 0.4883720930232558, 0.4888888888888889, 0.48936170212765956, 0.4897959183673469, more...

decimal, strictly-monotonic, +

a(n)=n/Δ[n²]
Δ(a)=differences of a
n≥0
5 operations
Power
a(n)=n/comp[2*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=n/comp[2+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive
a(n)=n/xor(1, 2*n)
xor(a,b)=bitwise exclusive or
n≥0
7 operations
Bitwise

Sequence wvya5ljldesvn

1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[3*n²]
comp(a)=complement function of a (in range)
n≥0
5 operations
Power
a(n)=comp[n*3*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic

Sequence 2sabeprdn15rb

1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, more...

integer, strictly-monotonic, +, A183299

a(n)=comp[n²-1]
comp(a)=complement function of a (in range)
n≥0
5 operations
Power
a(n)=comp[∑[comp[φ(n)]]]
ϕ(n)=number of relative primes (Euler's totient)
comp(a)=complement function of a (in range)
∑(a)=partial sums of a
n≥1
5 operations
Prime
a(n)=comp[n*(2+n)]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic

Sequence dxcvtsbmq5fwf

1, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, more...

integer, strictly-monotonic, +, A183300

a(n)=comp[2*n²]
comp(a)=complement function of a (in range)
n≥0
5 operations
Power
a(n)=comp[n*2*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic

Sequence bfhe34shks25f

0, 0.5, 0.5, 0.6, 0.5714285714285714, 0.625, 0.6, 0.6363636363636364, 0.6153846153846154, 0.6428571428571429, 0.625, 0.6470588235294118, 0.631578947368421, 0.65, 0.6363636363636364, 0.6521739130434783, 0.64, 0.6538461538461539, 0.6428571428571429, 0.6551724137931034, 0.6451612903225806, 0.65625, 0.6470588235294118, 0.6571428571428571, 0.6486486486486487, more...

decimal, non-monotonic, +

a(n)=n/comp[3*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=n/comp[3+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence ibxa0m1y2gmii

0, 0.5, 0.6666666666666666, 1, 1, 1.1666666666666667, 1.1428571428571428, 1.25, 1.2222222222222223, 1.3, 1.2727272727272727, 1.3333333333333333, 1.3076923076923077, 1.3571428571428572, 1.3333333333333333, 1.375, 1.3529411764705883, 1.3888888888888888, 1.368421052631579, 1.4, 1.380952380952381, 1.4090909090909092, 1.391304347826087, 1.4166666666666667, 1.4, more...

decimal, non-monotonic, +

a(n)=comp[3*n]/n
comp(a)=complement function of a (in range)
n≥1
6 operations
Arithmetic

Sequence 4l1mhw3oh14wk

0, 0.5, 1, 1.25, 1.4, 1.5, 1.5714285714285714, 1.625, 1.6666666666666667, 1.7, 1.7272727272727273, 1.75, 1.7692307692307692, 1.7857142857142858, 1.8, 1.8125, 1.8235294117647058, 1.8333333333333333, 1.8421052631578947, 1.85, 1.8571428571428572, 1.8636363636363635, 1.8695652173913044, 1.875, 1.88, more...

decimal, strictly-monotonic, +

a(n)=comp[2*n]/n
comp(a)=complement function of a (in range)
n≥1
6 operations
Arithmetic
a(n)=comp[2+a(n-1)]/n
a(0)=2
comp(a)=complement function of a (in range)
n≥1
6 operations
Recursive

Sequence alyznko2s4tmi

0, 2, 8, 15, 28, 40, 60, 77, 104, 126, 160, 187, 228, 260, 308, 345, 400, 442, 504, 551, 620, 672, 748, 805, 888, 950, 1040, 1107, 1204, 1276, 1380, 1457, 1568, 1650, more...

integer, strictly-monotonic, +

a(n)=n*comp[3*n]
comp(a)=complement function of a (in range)
n≥0
6 operations
Arithmetic
a(n)=n*comp[3+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence t404cb3etxtlm

-2, -4, -5, -7, -8, -9, -11, -12, -13, -14, -16, -17, -18, -19, -20, -22, -23, -24, -25, -26, -27, -29, -30, -31, -32, -33, -34, -35, -37, -38, -39, -40, -41, -42, -43, -44, -46, -47, -48, -49, -50, more...

integer, strictly-monotonic, -

a(n)=-comp[∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
4 operations
Arithmetic
a(n)=-comp[n+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence sptafetzu0r0g

0, 1, 2, 3, 4, 7, 9, 10, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, more...

integer, strictly-monotonic, +

a(n)=comp[n+a(n-1)]
a(0)=5
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[5+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[C(n, a(n-1))]]
a(0)=5
C(n,k)=binomial coefficient
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Combinatoric

Sequence ry0jcpvzpmovi

0, 1, 2, 3, 6, 8, 9, 11, 12, 13, 15, 16, 17, 18, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 50, more...

integer, strictly-monotonic, +

a(n)=comp[n+a(n-1)]
a(0)=4
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[4+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[C(n, a(n-1))]]
a(0)=4
C(n,k)=binomial coefficient
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Combinatoric

Sequence dft4gils3uqtd

0, 1, 2, 5, 7, 8, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[n+a(n-1)]
a(0)=3
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[3+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[C(n, a(n-1))]]
a(0)=3
C(n,k)=binomial coefficient
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Combinatoric

Sequence jencrzjojvfgm

0, 1, 4, 6, 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[n+a(n-1)]
a(0)=2
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[2+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[C(n, a(n-1))]]
a(0)=2
C(n,k)=binomial coefficient
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Combinatoric

Sequence maimxysfotreg

0, 3, 5, 6, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[n+a(n-1)]
a(0)=1
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp[1+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[C(n, a(n-1))]]
a(0)=1
C(n,k)=binomial coefficient
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Combinatoric

Sequence upv0r3fisbxtm

1, 3, 15, 105, 945, 10395, 135135, 2027025, 34459425, 654729075, 13749310575, 316234143225, 7905853580625, 213458046676875, more...

integer, strictly-monotonic, +

a(n)=∏[2+a(n-1)]
a(0)=1
∏(a)=partial products of a
n≥0
4 operations
Recursive
a(n)=∏[Δ[n²]]
Δ(a)=differences of a
∏(a)=partial products of a
n≥0
4 operations
Power
a(n)=∏[comp[2*n]]
comp(a)=complement function of a (in range)
∏(a)=partial products of a
n≥0
5 operations
Arithmetic
a(n)=∏[comp[lcm(n, 2)]]
lcm(a,b)=least common multiple
comp(a)=complement function of a (in range)
∏(a)=partial products of a
n≥0
5 operations
Divisibility

Sequence et2v4bx2gumui

-8, -6, -5, -3, -2, -1, 1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, more...

integer, strictly-monotonic, +-

a(n)=comp[∑[n]]-10
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence r0wcjhccwq5uj

-7, -5, -4, -2, -1, 0, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, more...

integer, strictly-monotonic, +-

a(n)=comp[∑[n]]-9
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence t0oxxzq5songh

-6, -4, -3, -1, 0, 1, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, more...

integer, strictly-monotonic, +-

a(n)=comp[∑[n]]-8
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence 5hjeqgmkd0a0p

-5, -3, -2, 0, 1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, more...

integer, strictly-monotonic, +-

a(n)=comp[∑[n]]-7
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence 3u3if3qx3ptcp

-4, -2, -1, 1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, more...

integer, strictly-monotonic, +-

a(n)=comp[∑[n]]-6
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence gtr5sfxi2m0ig

-3, -1, 0, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, more...

integer, strictly-monotonic, +-

a(n)=comp[∑[n]]-5
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence xfmofwtfauhzb

-2, 0, 1, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, more...

integer, strictly-monotonic, +-

a(n)=comp[∑[n]]-4
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence 1rni2uvxnrdjf

-1, -3, -4, -6, -7, -8, -10, -11, -12, -13, -15, -16, -17, -18, -19, -21, -22, -23, -24, -25, -26, -28, -29, -30, -31, -32, -33, -34, -36, -37, -38, -39, -40, -41, -42, -43, -45, -46, -47, -48, -49, more...

integer, strictly-monotonic, -

a(n)=1-comp[∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=1-comp[n+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence 0zjir5v3d4gmd

-1, 1, 2, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, more...

integer, strictly-monotonic, +-

a(n)=comp[∑[n]]-3
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[n+a(n-1)]-3
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence lxbcgvo4wrjnb

0, -2, -3, -5, -6, -7, -9, -10, -11, -12, -14, -15, -16, -17, -18, -20, -21, -22, -23, -24, -25, -27, -28, -29, -30, -31, -32, -33, -35, -36, -37, -38, -39, -40, -41, -42, -44, -45, -46, -47, -48, more...

integer, strictly-monotonic, -

a(n)=2-comp[∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=2-comp[n+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence cxg1rte4gor1e

0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, more...

integer, periodic-4, non-monotonic, +, A166486

a(n)=char[comp[4*n]]
comp(a)=complement function of a (in range)
char(a)=characteristic function of a (in range)
n≥0
5 operations
Arithmetic

Sequence eo30h5s210pxd

0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, more...

integer, periodic-6, non-monotonic, +, A097325

a(n)=char[comp[6*n]]
comp(a)=complement function of a (in range)
char(a)=characteristic function of a (in range)
n≥0
5 operations
Arithmetic

Sequence gq11avi1v1jf

0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, more...

integer, periodic-8, non-monotonic, +, A168181

a(n)=char[comp[8*n]]
comp(a)=complement function of a (in range)
char(a)=characteristic function of a (in range)
n≥0
5 operations
Arithmetic

Sequence y2hcxyik2x5mp

0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, more...

integer, periodic-9, non-monotonic, +, A168182

a(n)=char[comp[9*n]]
comp(a)=complement function of a (in range)
char(a)=characteristic function of a (in range)
n≥0
5 operations
Arithmetic

Sequence 0qja2c14x12en

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, periodic-10, non-monotonic, +, A168046

a(n)=char[comp[10*n]]
comp(a)=complement function of a (in range)
char(a)=characteristic function of a (in range)
n≥0
5 operations
Arithmetic

Sequence rbyf0fx2dmswi

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[10+n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence ducaji525ck0b

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 14, 15, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[10+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence vatkqcgpkcsbl

0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[9+n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence 5b5qhbbmnvtii

0, 1, 2, 3, 4, 5, 6, 7, 8, 11, 13, 14, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[9+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence 2v54g5fzpsv1h

0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, more...

integer, strictly-monotonic, +

a(n)=comp[∑[8+n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[xor(8, n)]]
xor(a,b)=bitwise exclusive or
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Bitwise

Sequence sjmtxjyhhdyej

0, 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[8+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence yu3zjbsyav3ag

0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[7+n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence owp1d5xyfdwqk

0, 1, 2, 3, 4, 5, 6, 9, 11, 12, 14, 15, 16, 18, 19, 20, 21, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[7+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence mist3btalqeoh

0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[6+n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence yxy4kridwrb3n

0, 1, 2, 3, 4, 5, 8, 10, 11, 13, 14, 15, 17, 18, 19, 20, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[6+∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence qzdigjptljedi

0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[5+n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[1+a(n-1)]]
a(0)=5
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence de3cd2nr2m4zl

0, 1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[4+n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[1+a(n-1)]]
a(0)=4
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence lp3j4qlvuhwol

0, 1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[n]-7]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[∑[stern(a(n-1))]]]
a(0)=3
stern(n)=Stern-Brocot sequence
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive
a(n)=comp[∑[∑[φ(a(n-1))]]]
a(0)=3
ϕ(n)=number of relative primes (Euler's totient)
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Prime
a(n)=comp[∑[∑[agc(a(n-1))]]]
a(0)=3
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Prime

Sequence eji43wdjsxe5p

0, 1, 2, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[3+n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[1+a(n-1)]]
a(0)=3
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence 0x1xrsyvnw1jp

0, 1, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[n]-8]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence ndejddzr00t2l

0, 1, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[n]-4]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[3+n+a(n-1)]
a(0)=2
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence w43nd2mfqn5ii

0, 1, 3, 4, 6, 7, 8, 10, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[2+n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[∑[1+a(n-1)]]
a(0)=2
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Recursive

Sequence 3fd511x5qchle

0, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[n]-9]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic

Sequence nixjdjthbyxnj

0, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, more...

integer, strictly-monotonic, +

a(n)=comp[∑[n]-5]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[3+n+a(n-1)]
a(0)=1
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence rvhrdrcrxldrd

0, 2, 3, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp[∑[n]-2]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp[2+n+a(n-1)]
a(0)=1
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence klh5cgfjnaqgk

1, -1, -2, -4, -5, -6, -8, -9, -10, -11, -13, -14, -15, -16, -17, -19, -20, -21, -22, -23, -24, -26, -27, -28, -29, -30, -31, -32, -34, -35, -36, -37, -38, -39, -40, -41, -43, -44, -45, -46, -47, more...

integer, strictly-monotonic, +-

a(n)=3-comp[∑[n]]
∑(a)=partial sums of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=3-comp[n+a(n-1)]
a(0)=0
comp(a)=complement function of a (in range)
n≥0
6 operations
Recursive

Sequence syvz3xkonbgbi

1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, more...

integer, periodic-9, non-monotonic, +, A043282

a(n)=Δ[comp[10*n]]
comp(a)=complement function of a (in range)
Δ(a)=differences of a
n≥0
5 operations
Arithmetic

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