Sequence Database

A database with 1693109 machine generated integer and decimal sequences.

Displaying result 0-99 of total 18110. [0] [1] [2] [3] [4] ... [181]

Sequence d44dqiub0qpbp

0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, more...

integer, monotonic, +

a(n)=round(n/10)
n≥0
4 operations
Arithmetic
a(n)=round(n/π²)
π=3.1415... (Pi)
n≥0
5 operations
Power
a(n)=∑[char[10+a(n-1)]]
a(0)=5
char(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence yni4trkbjukzb

0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, more...

integer, monotonic, +

a(n)=round(n/9)
n≥0
4 operations
Arithmetic
a(n)=∑[char[9+a(n-1)]]
a(0)=5
char(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive
a(n)=round(n*(1/3)²)
n≥0
7 operations
Power

Sequence caux0k0pjc1qi

0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, more...

integer, monotonic, +

a(n)=round(n/8)
n≥0
4 operations
Arithmetic
a(n)=∑[char[8+a(n-1)]]
a(0)=4
char(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence rkhl4anzbvfyg

0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, more...

integer, monotonic, +

a(n)=round(n/7)
n≥0
4 operations
Arithmetic
a(n)=∑[char[7+a(n-1)]]
a(0)=4
char(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence h0c2ihfmtkl5

0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, more...

integer, monotonic, +

a(n)=round(n/6)
n≥0
4 operations
Arithmetic
a(n)=∑[char[6+a(n-1)]]
a(0)=3
char(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence yuimginadyryi

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, more...

integer, monotonic, +

a(n)=round(n/5)
n≥0
4 operations
Arithmetic
a(n)=round(n/exp(ϕ))
ϕ=1.618... (Golden Ratio)
n≥0
5 operations
Power
a(n)=∑[char[5+a(n-1)]]
a(0)=3
char(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence 1irmtzlkgc0de

0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, more...

integer, monotonic, +

a(n)=round(n/4)
n≥0
4 operations
Arithmetic
a(n)=∑[char[4+a(n-1)]]
a(0)=2
char(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive
a(n)=∑[1-a(n-2)]-a(n-1)
a(0)=0
a(1)=1
∑(a)=partial sums of a
n≥0
6 operations
Recursive
a(n)=round(n*(1/2)²)
n≥0
7 operations
Power

Sequence id4o55c2nmbkg

0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, more...

integer, monotonic, +

a(n)=round(n/3)
n≥0
4 operations
Arithmetic
a(n)=∑[a(n-3)]-a(n-1)
a(0)=0
a(1)=1
a(2)=1
∑(a)=partial sums of a
n≥0
4 operations
Recursive
a(n)=round(n*γ²)
γ=0.5772... (Euler Gamma)
n≥0
5 operations
Power
a(n)=∑[char[3+a(n-1)]]
a(0)=2
char(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive
a(n)=a(n-3)+C(a(n-1), n)
a(0)=0
a(1)=0
a(2)=1
C(n,k)=binomial coefficient
n≥0
5 operations
Combinatoric

Sequence fmfwfatghy3cm

3, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=round(3/n)
n≥1
4 operations
Arithmetic
a(n)=round(log2(9)/n)
n≥1
5 operations
Power

Sequence wlrxkksveqcmp

4, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=round(4/n)
n≥1
4 operations
Arithmetic
a(n)=floor(3/log(p(n)))
p(n)=nth prime
n≥1
6 operations
Prime
a(n)=round(n*(2/n)²)
n≥1
7 operations
Power

Sequence yce5xosy32wwg

5, 3, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=round(5/n)
n≥1
4 operations
Arithmetic
a(n)=round(exp(ϕ)/n)
ϕ=1.618... (Golden Ratio)
n≥1
5 operations
Power

Sequence nbjgutqp1mg5b

6, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=round(6/n)
n≥1
4 operations
Arithmetic

Sequence w4vgabec1gpaj

7, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=round(7/n)
n≥1
4 operations
Arithmetic
a(n)=round(e²/n)
e=2.7182... (Euler e)
n≥1
5 operations
Power

Sequence qckcmtgh0pf1

8, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=round(8/n)
n≥1
4 operations
Arithmetic

Sequence 133fpf5ozcjsk

9, 5, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=round(9/n)
n≥1
4 operations
Arithmetic
a(n)=round(n*(3/n)²)
n≥1
7 operations
Power

Sequence z13nvg3rlmz4o

10, 5, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=round(10/n)
n≥1
4 operations
Arithmetic

Sequence 3dbc0n1bpbvqd

0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, more...

integer, monotonic, +

a(n)=round(n/π)
π=3.1415... (Pi)
n≥0
4 operations
Arithmetic

Sequence b43aonerv1eye

0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, more...

integer, monotonic, +

a(n)=round(n/e)
e=2.7182... (Euler e)
n≥0
4 operations
Arithmetic

Sequence bd0lu1ruitdmi

0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 17, 18, 18, 19, 20, 20, 21, 21, 22, 23, 23, 24, 24, 25, 25, 26, 27, 27, 28, 28, more...

integer, monotonic, +

a(n)=round(n*γ)
γ=0.5772... (Euler Gamma)
n≥0
4 operations
Arithmetic
a(n)=round(n/sqrt(3))
n≥0
5 operations
Power

Sequence 3rfrfi2kgnqeo

0, 1, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 11, 11, 12, 12, 13, 14, 14, 15, 15, 16, 17, 17, 18, 19, 19, 20, 20, 21, 22, 22, 23, 23, 24, 25, 25, 26, 27, 27, 28, 28, 29, 30, 30, more...

integer, monotonic, +, A101803

a(n)=round(n/ϕ)
ϕ=1.618... (Golden Ratio)
n≥0
4 operations
Arithmetic

Sequence ae3wfbhsdib4c

0, 2, 3, 5, 6, 8, 10, 11, 13, 15, 16, 18, 19, 21, 23, 24, 26, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 44, 45, 47, 49, 50, 52, 53, 55, 57, 58, 60, 61, 63, 65, 66, 68, 70, 71, 73, 74, 76, 78, 79, more...

integer, strictly-monotonic, +, A007067

a(n)=round(n*ϕ)
ϕ=1.618... (Golden Ratio)
n≥0
4 operations
Arithmetic

Sequence nt4ctige222ml

0, 2, 3, 5, 7, 9, 10, 12, 14, 16, 17, 19, 21, 23, 24, 26, 28, 29, 31, 33, 35, 36, 38, 40, 42, 43, 45, 47, 49, 50, 52, 54, 55, 57, 59, 61, 62, 64, 66, 68, 69, 71, 73, 74, 76, 78, 80, 81, 83, 85, more...

integer, strictly-monotonic, +

a(n)=round(n/γ)
γ=0.5772... (Euler Gamma)
n≥0
4 operations
Arithmetic

Sequence b2y5mc4d1ysij

0, 3, 5, 8, 11, 14, 16, 19, 22, 24, 27, 30, 33, 35, 38, 41, 43, 46, 49, 52, 54, 57, 60, 63, 65, 68, 71, 73, 76, 79, 82, 84, 87, 90, 92, 95, 98, 101, 103, 106, 109, 111, 114, 117, 120, 122, 125, 128, 130, 133, more...

integer, strictly-monotonic, +, A022852

a(n)=round(n*e)
e=2.7182... (Euler e)
n≥0
4 operations
Arithmetic

Sequence g5ll4snpfqhuh

0, 3, 6, 9, 13, 16, 19, 22, 25, 28, 31, 35, 38, 41, 44, 47, 50, 53, 57, 60, 63, 66, 69, 72, 75, 79, 82, 85, 88, 91, 94, 97, 101, 104, 107, 110, 113, 116, 119, 123, 126, 129, 132, 135, 138, 141, 145, 148, 151, 154, more...

integer, strictly-monotonic, +, A022853

a(n)=round(n*π)
π=3.1415... (Pi)
n≥0
4 operations
Arithmetic

Sequence so051llk23xvb

-10, -5, -3, -3, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=-round(10/n)
n≥1
5 operations
Arithmetic

Sequence txrv2n5vq0k3i

-10, -5, -3, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=round(-10/n)
n≥1
5 operations
Arithmetic

Sequence coeh1atuojp5h

-9, -5, -3, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=-round(9/n)
n≥1
5 operations
Arithmetic

Sequence b5l42yip2c5pf

-9, -4, -3, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=round(-9/n)
n≥1
5 operations
Arithmetic

Sequence vzgoqbktm1sie

-8, -4, -3, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=-round(8/n)
n≥1
5 operations
Arithmetic

Sequence z0bl3431zlezh

-8, -4, -3, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=round(-8/n)
n≥1
5 operations
Arithmetic

Sequence lcfllsn2225be

-7, -4, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=-round(7/n)
n≥1
5 operations
Arithmetic

Sequence rjzzhkuha5fkb

-7, -3, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=round(-7/n)
n≥1
5 operations
Arithmetic

Sequence hfhix3qrfgugc

-6, -3, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=-round(6/n)
n≥1
5 operations
Arithmetic

Sequence geipqxsttvn1e

-6, -3, -2, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=round(-6/n)
n≥1
5 operations
Arithmetic

Sequence cll2cvcspod2i

-5, -3, -2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=-round(5/n)
n≥1
5 operations
Arithmetic

Sequence zaq3ngr3h5m3c

-5, -2, -2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=round(-5/n)
n≥1
5 operations
Arithmetic

Sequence zuxwsui4of1qm

-4, -2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=-round(4/n)
n≥1
5 operations
Arithmetic

Sequence 3mpwcyxsu20th

-4, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=round(-4/n)
n≥1
5 operations
Arithmetic

Sequence 4pqsckeqvmske

-3, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, -

a(n)=-round(3/n)
n≥1
5 operations
Arithmetic

Sequence uiwpbupm4ms4e

0, 0, -1, -1, -1, -2, -2, -2, -3, -3, -3, -4, -4, -4, -5, -5, -5, -6, -6, -6, -7, -7, -7, -8, -8, -8, -9, -9, -9, -10, -10, -10, -11, -11, -11, -12, -12, -12, -13, -13, -13, -14, -14, -14, -15, -15, -15, -16, -16, -16, more...

integer, monotonic, -

a(n)=round(-n/3)
n≥0
5 operations
Arithmetic
a(n)=-(∑[a(n-3)]+a(n-1))
a(0)=0
a(1)=1
a(2)=1
∑(a)=partial sums of a
n≥0
5 operations
Recursive
a(n)=floor((sqrt(2)-n)/3)
n≥0
7 operations
Power

Sequence nstm41puc5tnf

0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, -4, -4, -5, -5, -5, -5, -6, -6, -6, -6, -7, -7, -7, -7, -8, -8, -8, -8, -9, -9, -9, -9, -10, -10, -10, -10, -11, -11, -11, -11, -12, -12, -12, -12, more...

integer, monotonic, -

a(n)=-round(n/4)
n≥0
5 operations
Arithmetic

Sequence ua1sgqltpgmpo

0, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, -4, -4, -5, -5, -5, -5, -6, -6, -6, -6, -7, -7, -7, -7, -8, -8, -8, -8, -9, -9, -9, -9, -10, -10, -10, -10, -11, -11, -11, -11, -12, -12, -12, more...

integer, monotonic, -

a(n)=round(-n/4)
n≥0
5 operations
Arithmetic

Sequence a0d0idtqqqmmc

0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, -10, -10, more...

integer, monotonic, -

a(n)=round(-n/5)
n≥0
5 operations
Arithmetic

Sequence ggps3eqcdy2mh

0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, more...

integer, monotonic, -

a(n)=-round(n/6)
n≥0
5 operations
Arithmetic

Sequence qhttwkobu3byd

0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -7, -8, -8, -8, -8, more...

integer, monotonic, -

a(n)=round(-n/6)
n≥0
5 operations
Arithmetic

Sequence pxpocjh3utk1g

0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -6, -6, -7, -7, -7, -7, more...

integer, monotonic, -

a(n)=round(-n/7)
n≥0
5 operations
Arithmetic

Sequence vqiogtody05gf

0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -6, more...

integer, monotonic, -

a(n)=-round(n/8)
n≥0
5 operations
Arithmetic

Sequence iheqmcyfae25o

0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, more...

integer, monotonic, -

a(n)=round(-n/8)
n≥0
5 operations
Arithmetic

Sequence tbxi3d0jj4q0o

0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -5, -5, -5, more...

integer, monotonic, -

a(n)=round(-n/9)
n≥0
5 operations
Arithmetic

Sequence lklrddu15eggg

0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, more...

integer, monotonic, -

a(n)=-round(n/10)
n≥0
5 operations
Arithmetic

Sequence i4apt40fvwyfd

0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, more...

integer, monotonic, -

a(n)=round(-n/10)
n≥0
5 operations
Arithmetic

Sequence 5ahjijk02n0zh

1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 9, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 17, 17, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 25, 25, 26, 27, 27, 28, 29, 29, 30, 31, 31, 32, 33, 33, more...

integer, monotonic, +

a(n)=∑[xor(a(n-1), a(n-2))]
a(0)=1
a(1)=0
xor(a,b)=bitwise exclusive or
∑(a)=partial sums of a
n≥0
4 operations
Recursive
a(n)=and(1, a(n-2))+a(n-1)
a(0)=1
a(1)=1
and(a,b)=bitwise and
n≥0
5 operations
Recursive
a(n)=∑[sqrt(xor(a(n-1), a(n-2)))]
a(0)=1
a(1)=0
xor(a,b)=bitwise exclusive or
∑(a)=partial sums of a
n≥0
5 operations
Recursive
a(n)=∑[stern(xor(a(n-1), a(n-2)))]
a(0)=1
a(1)=0
xor(a,b)=bitwise exclusive or
stern(n)=Stern-Brocot sequence
∑(a)=partial sums of a
n≥0
5 operations
Recursive
a(n)=round(2/(3/n))
n≥1
6 operations
Arithmetic

Sequence sfeaihgbyqnrj

-1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +-

a(n)=round(log2(log(p(n))))
p(n)=nth prime
n≥1
5 operations
Prime
a(n)=2-round(3/n)
n≥1
6 operations
Arithmetic

Sequence jdcmzuico5ufg

0, 1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 9, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 17, 17, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 25, 25, 26, 27, 27, 28, 29, 29, 30, 31, 31, 32, 33, more...

integer, monotonic, +, A004396

a(n)=and(1, a(n-2))+a(n-1)
a(0)=0
a(1)=1
and(a,b)=bitwise and
n≥0
5 operations
Recursive
a(n)=2+a(n-3)%a(n-1)
a(0)=0
a(1)=1
a(2)=1
n≥0
5 operations
Recursive
a(n)=abs(xor(Δ[a(n-3)], a(n-1)))
a(0)=0
a(1)=1
a(2)=1
Δ(a)=differences of a
xor(a,b)=bitwise exclusive or
n≥0
5 operations
Recursive
a(n)=round(2*n/3)
n≥0
6 operations
Arithmetic
a(n)=floor(n-a(n-1)/2)
a(0)=0
n≥0
6 operations
Recursive

Sequence f2qxn3qolkrb

0, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, more...

integer, monotonic, +

a(n)=ceil(log2(log2(p(n))))
p(n)=nth prime
n≥1
5 operations
Prime
a(n)=3-round(3/n)
n≥1
6 operations
Arithmetic

Sequence mohayvddhln

4, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, monotonic, +

a(n)=round(3/log(n))
n≥2
5 operations
Power
a(n)=round(1+3/n)
n≥1
6 operations
Arithmetic

Sequence nx50iidf51pnn

-3, -3, -2, -2, -2, -1, -1, -1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, more...

integer, monotonic, +-

a(n)=round(n/3-3)
n≥0
6 operations
Arithmetic

Sequence hsjbn5nrnevlk

-2, -2, -1, -1, -1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, more...

integer, monotonic, +-

a(n)=round(n/3-2)
n≥0
6 operations
Arithmetic
a(n)=floor(n/3-sqrt(2))
n≥0
7 operations
Power

Sequence d0xn5ulif0fri

-2, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, monotonic, +-

a(n)=1-round(3/n)
n≥1
6 operations
Arithmetic

Sequence hhnh2octlmmsg

0, -1, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, more...

integer, monotonic, -

a(n)=round(3/n-3)
n≥1
6 operations
Arithmetic

Sequence asycujffciuco

0, 0, 0.3333333333333333, 0.3333333333333333, 0.3333333333333333, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 1, 1, 1, 1.3333333333333333, 1.3333333333333333, 1.3333333333333333, 1.6666666666666667, 1.6666666666666667, 1.6666666666666667, 2, 2, 2, 2.3333333333333335, 2.3333333333333335, 2.3333333333333335, 2.6666666666666665, 2.6666666666666665, more...

decimal, monotonic, +

a(n)=round(n/3)/3
n≥0
6 operations
Arithmetic

Sequence erzuw11sr55sp

0, 0, 0.5, 0.5, 0.5, 1, 1, 1, 1.5, 1.5, 1.5, 2, 2, 2, 2.5, 2.5, 2.5, 3, 3, 3, 3.5, 3.5, 3.5, 4, 4, more...

decimal, monotonic, +

a(n)=round(n/3)/2
n≥0
6 operations
Arithmetic

Sequence u5biptv10mhrh

0, 0, 2, 2, 2, 4, 4, 4, 6, 6, 6, 8, 8, 8, 10, 10, 10, 12, 12, 12, 14, 14, 14, 16, 16, 16, 18, 18, 18, 20, 20, 20, 22, 22, 22, 24, 24, 24, 26, 26, 26, 28, 28, 28, 30, 30, 30, 32, 32, 32, more...

integer, monotonic, +

a(n)=2*round(n/3)
n≥0
6 operations
Arithmetic

Sequence 04acqctcm4fxn

0, 0, 3, 3, 3, 6, 6, 6, 9, 9, 9, 12, 12, 12, 15, 15, 15, 18, 18, 18, 21, 21, 21, 24, 24, 24, 27, 27, 27, 30, 30, 30, 33, 33, 33, 36, 36, 36, 39, 39, 39, 42, 42, 42, 45, 45, 45, 48, 48, 48, more...

integer, monotonic, +

a(n)=3*round(n/3)
n≥0
6 operations
Arithmetic

Sequence qfgxrrwrks0fm

1, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, more...

integer, monotonic, +-

a(n)=round(3/n-2)
n≥1
6 operations
Arithmetic

Sequence 5xfyhzn0zzhfn

1, 0.6666666666666666, 0.3333333333333333, 0.3333333333333333, 0.3333333333333333, 0.3333333333333333, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

decimal, monotonic, +

a(n)=round(3/n)/3
n≥1
6 operations
Arithmetic

Sequence 1a11uqjq0141b

1.5, 1, 0.5, 0.5, 0.5, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

decimal, monotonic, +

a(n)=round(3/n)/2
n≥1
6 operations
Arithmetic

Sequence 5l0zt3taq3sxi

2, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, more...

integer, monotonic, +-

a(n)=round(3/n-1)
n≥1
6 operations
Arithmetic

Sequence hbyy5yfleys0k

2, 2, 1, 1, 1, 0, 0, 0, -1, -1, -1, -2, -2, -2, -3, -3, -3, -4, -4, -4, -5, -5, -5, -6, -6, -6, -7, -7, -7, -8, -8, -8, -9, -9, -9, -10, -10, -10, -11, -11, -11, -12, -12, -12, -13, -13, -13, -14, -14, -14, more...

integer, monotonic, +-

a(n)=round(2-n/3)
n≥0
6 operations
Arithmetic

Sequence jnsep0mgydogj

2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, more...

integer, monotonic, +

a(n)=round(2+n/3)
n≥0
6 operations
Arithmetic

Sequence qumck5cbl2w1d

3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, -1, -1, -1, -2, -2, -2, -3, -3, -3, -4, -4, -4, -5, -5, -5, -6, -6, -6, -7, -7, -7, -8, -8, -8, -9, -9, -9, -10, -10, -10, -11, -11, -11, -12, -12, -12, -13, -13, -13, more...

integer, monotonic, +-

a(n)=round(3-n/3)
n≥0
6 operations
Arithmetic

Sequence wuwt1qj0qen1i

3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, more...

integer, monotonic, +

a(n)=round(3+n/3)
n≥0
6 operations
Arithmetic

Sequence l5fphwwwzdzrc

5, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +

a(n)=round(2+3/n)
n≥1
6 operations
Arithmetic

Sequence oda0qd3yctwtm

6, 4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=2*round(3/n)
n≥1
6 operations
Arithmetic

Sequence cpx01oazetj2f

6, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, more...

integer, monotonic, +

a(n)=round(3+3/n)
n≥1
6 operations
Arithmetic

Sequence rmkmtx4ptcexg

9, 6, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, monotonic, +

a(n)=3*round(3/n)
n≥1
6 operations
Arithmetic

Sequence axgeuufsfeepb

0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, more...

integer, monotonic, +, A000193

a(n)=round(log(n))
n≥1
3 operations
Power

Sequence uth5s1sdppb4g

0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, more...

integer, monotonic, +, A000194

a(n)=round(sqrt(n))
n≥0
3 operations
Power
a(n)=char[n+n²]+a(n-1)
a(0)=0
char(a)=characteristic function of a (in range)
n≥0
7 operations
Recursive

Sequence k2rifxzkmusoo

0, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, more...

integer, monotonic, +, A004257

a(n)=round(log2(n))
n≥1
3 operations
Power

Sequence dev2jr0ru2rab

1, 3, 7, 20, 55, 148, 403, 1097, 2981, 8103, 22026, 59874, 162755, 442413, 1202604, 3269017, 8886111, 24154953, 65659969, 178482301, 485165195, 1318815734, 3584912846, 9744803446, 26489122130, 72004899337, 195729609429, 532048240602, 1446257064291, 3931334297144, 10686474581524, 29048849665247, 78962960182681, 214643579785916, 583461742527455, 1586013452313431, 4311231547115195, more...

integer, strictly-monotonic, +, A000227

a(n)=round(exp(n))
n≥0
3 operations
Power

Sequence 3kp50lvaf5wn

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +

a(n)=round(root(9, n))
root(n,a)=the n-th root of a
n≥0
4 operations
Power

Sequence mrgix3ug41pgj

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +, A231560

a(n)=round(root(8, n))
root(n,a)=the n-th root of a
n≥0
4 operations
Power
a(n)=ceil(n/zetazero(2))
zetazero(n)=non trivial zeros of Riemann zeta
n≥0
5 operations
Prime

Sequence ia1j1olq05tzc

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +

a(n)=round(root(7, n))
root(n,a)=the n-th root of a
n≥0
4 operations
Power
a(n)=stern(round(root(π, n)))
π=3.1415... (Pi)
root(n,a)=the n-th root of a
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Recursive

Sequence dnb4woxlva4tl

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +

a(n)=round(root(6, n))
root(n,a)=the n-th root of a
n≥0
4 operations
Power
a(n)=round(log(sqrt(composite(n))))
composite(n)=nth composite number
n≥1
5 operations
Prime

Sequence qdob4bkrbzuzo

0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

integer, monotonic, +, A211662

a(n)=round(root(5, n))
root(n,a)=the n-th root of a
n≥0
4 operations
Power

Sequence dsirmk04axkil

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, more...

integer, monotonic, +

a(n)=round(root(4, n))
root(n,a)=the n-th root of a
n≥0
4 operations
Power

Sequence folun1hjdoudb

0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, more...

integer, monotonic, +

a(n)=round(root(3, n))
root(n,a)=the n-th root of a
n≥0
4 operations
Power

Sequence q0dr4vc3p0a0e

0, -1, -1, -2, -3, -3, -4, -5, -5, -6, -7, -7, -8, -9, -9, -10, -11, -11, -12, -13, -13, -14, -15, -15, -16, -17, -17, -18, -19, -19, -20, -21, -21, -22, -23, -23, -24, -25, -25, -26, -27, -27, -28, -29, -29, -30, -31, -31, -32, -33, more...

integer, monotonic, -

a(n)=a(n-1)-abs(Δ[a(n-3)])
a(0)=0
a(1)=1
a(2)=1
Δ(a)=differences of a
n≥0
5 operations
Recursive
a(n)=round(n/3-n)
n≥0
6 operations
Arithmetic
a(n)=1-∑[xor(a(n-1), a(n-2))]
a(0)=1
a(1)=1
xor(a,b)=bitwise exclusive or
∑(a)=partial sums of a
n≥0
6 operations
Recursive

Sequence ltoboogzygfw

-2, 0, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 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)=n-round(3/n)
n≥1
6 operations
Arithmetic

Sequence qvlu20ofzxlen

-2, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 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)=round(n-3/n)
n≥1
6 operations
Arithmetic
a(n)=round((n²-3)/n)
n≥1
7 operations
Power

Sequence ouejm41uprvgh

-1, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 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)=n-round(2/n)
n≥1
6 operations
Arithmetic
a(n)=n-floor(2/sqrt(n))
n≥1
7 operations
Power

Sequence 4mgnahfw5ogcg

-1, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 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)=round(n-2/n)
n≥1
6 operations
Arithmetic

Sequence uz1meudpap1u

0, 0, 2, 3, 4, 10, 12, 14, 24, 27, 30, 44, 48, 52, 70, 75, 80, 102, 108, 114, 140, 147, 154, 184, 192, 200, 234, 243, 252, 290, 300, 310, 352, 363, 374, 420, 432, 444, 494, 507, 520, 574, 588, 602, 660, 675, 690, 752, 768, 784, more...

integer, monotonic, +

a(n)=n*round(n/3)
n≥0
6 operations
Arithmetic

Sequence z12rvjk1csytp

0, 0.5, 0.3333333333333333, 0.25, 0.4, 0.3333333333333333, 0.2857142857142857, 0.375, 0.3333333333333333, 0.3, 0.36363636363636365, 0.3333333333333333, 0.3076923076923077, 0.35714285714285715, 0.3333333333333333, 0.3125, 0.35294117647058826, 0.3333333333333333, 0.3157894736842105, 0.35, 0.3333333333333333, 0.3181818181818182, 0.34782608695652173, 0.3333333333333333, 0.32, more...

decimal, non-monotonic, +

a(n)=round(n/3)/n
n≥1
6 operations
Arithmetic

Sequence 2qa43lq1rq3tp

1, -1, -2, -3, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -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)=round(2/n-n)
n≥1
6 operations
Arithmetic
a(n)=round((2-n²)/n)
n≥1
7 operations
Power

Sequence 1qve0saxj0sle

2, 0, -2, -3, -4, -5, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -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)=round(3/n-n)
n≥1
6 operations
Arithmetic
a(n)=round((3-n²)/n)
n≥1
7 operations
Power

Sequence nc2myiotknee

2, 3, 4, 2.5, 3, 3.5, 2.6666666666666665, 3, 3.3333333333333335, 2.75, 3, 3.25, 2.8, 3, 3.2, 2.8333333333333335, 3, 3.1666666666666665, 2.857142857142857, 3, 3.142857142857143, 2.875, 3, 3.125, 2.888888888888889, more...

decimal, non-monotonic, +

a(n)=n/round(n/3)
n≥2
6 operations
Arithmetic

Sequence ttrviedcakapd

3, 1, 0.3333333333333333, 0.25, 0.2, 0.16666666666666666, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

decimal, monotonic, +

a(n)=round(3/n)/n
n≥1
6 operations
Arithmetic

Sequence p5z2si4cmqrdp

3, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 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, monotonic, +

a(n)=round(n+2/n)
n≥1
6 operations
Arithmetic
a(n)=round((2+n²)/n)
n≥1
7 operations
Power

Sequence qqkgucy5kna4b

3, 4, 3, 4, 5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, non-monotonic, +

a(n)=n*round(3/n)
n≥1
6 operations
Arithmetic

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