Sequence Database

A database with 899757 machine generated integer and decimal sequences.

Displaying result 0-99 of total 19432. [0] [1] [2] [3] [4] ... [194]

Sequence dnb1wejvpehll

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

integer, monotonic, +, A110654

a(n)=n-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
a(n)=ceil(n/2)
n≥0
4 operations
Arithmetic
a(n)=n%2+a(n-1)
a(0)=0
n≥0
5 operations
Divisibility
a(n)=∑(sqrt(1-a(n-1)))
a(0)=0
∑(a)=partial sums of a
n≥0
5 operations
Power
a(n)=C(n-a(n-1), a(n-2))
a(0)=0
a(1)=1
C(n,k)=binomial coefficient
n≥0
5 operations
Combinatoric
a(n)=∑(floor(cos(a(n-1))))
a(0)=0
∑(a)=partial sums of a
n≥0
4 operations
Trigonometric
a(n)=∑(Ω(2-a(n-1)))
a(0)=0
Ω(n)=max factorization terms
∑(a)=partial sums of a
n≥0
5 operations
Prime

Sequence donwd0iifx2ao

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, 5, 5, 5, 5, more...

integer, monotonic, +

a(n)=ceil(n/10)
n≥0
4 operations
Arithmetic
a(n)=∑(cf(10+a(n-1)))
a(0)=1
cf(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence z4fe1xb4bugag

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, 6, 6, 6, 6, more...

integer, monotonic, +

a(n)=ceil(n/9)
n≥0
4 operations
Arithmetic
a(n)=∑(cf(9+a(n-1)))
a(0)=1
cf(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence d1310nsmujg3m

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, 6, 6, 7, more...

integer, monotonic, +, A110656

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

Sequence uasmztrrr05hp

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, 7, 7, 7, more...

integer, monotonic, +

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

Sequence x0o5lzir3u2gh

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, 8, 9, more...

integer, monotonic, +

a(n)=ceil(n/6)
n≥0
4 operations
Arithmetic
a(n)=∑(cf(6+a(n-1)))
a(0)=1
cf(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence sk0o4ecibriyb

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, 10, 10, more...

integer, monotonic, +

a(n)=ceil(n/5)
n≥0
4 operations
Arithmetic
a(n)=∑(cf(5+a(n-1)))
a(0)=1
cf(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence 14ulug4m45x4f

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, 13, more...

integer, monotonic, +, A110655

a(n)=ceil(n/4)
n≥0
4 operations
Arithmetic
a(n)=∑(cf(4+a(n-1)))
a(0)=1
cf(a)=characteristic function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence tfj5jo3om1nfe

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, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, more...

integer, monotonic, +

a(n)=ceil(n/π)
π=3.141...
n≥0
4 operations
Arithmetic

Sequence 0wrezc013drpf

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, 17, more...

integer, monotonic, +

a(n)=ceil(n/3)
n≥0
4 operations
Arithmetic
a(n)=n-a(n-1)-a(n-2)
a(0)=0
a(1)=1
n≥0
5 operations
Recursive
a(n)=C(a(n-1), n)+a(n-3)
a(0)=0
a(1)=1
a(2)=1
C(n,k)=binomial coefficient
n≥0
5 operations
Combinatoric
a(n)=λ(a(n-1)²)+a(n-3)
a(0)=0
a(1)=1
a(2)=1
λ(n)=Liouville's function
n≥0
5 operations
Prime
a(n)=(n+a(n-1))%2+a(n-2)
a(0)=0
a(1)=1
n≥0
7 operations
Divisibility

Sequence xrxgobxx3pzhe

0, 4, 7, 10, 13, 16, 19, 22, 26, 29, 32, 35, 38, 41, 44, 48, 51, 54, 57, 60, 63, 66, 70, 73, 76, 79, 82, 85, 88, 92, 95, 98, 101, 104, 107, 110, 114, 117, 120, 123, 126, 129, 132, 136, 139, 142, 145, 148, 151, 154, more...

integer, strictly-monotonic, +, A121381

a(n)=ceil(π*n)
π=3.141...
n≥0
4 operations
Arithmetic

Sequence 0k2hqytdnj2ii

7, 4, 3, 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)=ceil(7/n)
n≥1
4 operations
Arithmetic

Sequence keglgdcynuzkh

8, 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, more...

integer, monotonic, +

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

Sequence y4spfdmlgnwgh

9, 5, 3, 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, more...

integer, monotonic, +

a(n)=ceil(9/n)
n≥1
4 operations
Arithmetic

Sequence rgearlzhpfibo

10, 5, 4, 3, 2, 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, more...

integer, monotonic, +

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

Sequence eoorb11yzocmi

0, -3.1415926536, -6.1415926536, -9.1415926536, -12.1415926536, -15.1415926536, -18.1415926536, -21.1415926536, -24.1415926536, -27.1415926536, -30.1415926536, -33.1415926536, -36.1415926536, -39.1415926536, -42.1415926536, -45.1415926536, -48.1415926536, -51.1415926536, -54.1415926536, -57.1415926536, -60.1415926536, -63.1415926536, -66.1415926536, -69.1415926536, -72.1415926536, more...

decimal, strictly-monotonic, -

a(n)=ceil(a(n-1))-π
a(0)=0
π=3.141...
n≥0
4 operations
Recursive

Sequence 0qgpujfsu1tui

0, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, more...

decimal, non-monotonic, +-

a(n)=π-ceil(a(n-1))
a(0)=0
π=3.141...
n≥0
4 operations
Recursive

Sequence 1vsbxcjbjagco

0, 3.1415926536, 7.1415926536, 11.1415926536, 15.1415926536, 19.1415926536, 23.1415926536, 27.1415926536, 31.1415926536, 35.1415926536, 39.1415926536, 43.1415926536, 47.1415926536, 51.1415926536, 55.1415926536, 59.1415926536, 63.1415926536, 67.1415926536, 71.1415926536, 75.1415926536, 79.1415926536, 83.1415926536, 87.1415926536, 91.1415926536, 95.1415926536, more...

decimal, strictly-monotonic, +

a(n)=π+ceil(a(n-1))
a(0)=0
π=3.141...
n≥0
4 operations
Recursive

Sequence pewjxdeuv20cj

1, -2.1415926536, -5.1415926536, -8.1415926536, -11.1415926536, -14.1415926536, -17.1415926536, -20.1415926536, -23.1415926536, -26.1415926536, -29.1415926536, -32.1415926536, -35.1415926536, -38.1415926536, -41.1415926536, -44.1415926536, -47.1415926536, -50.1415926536, -53.1415926536, -56.1415926536, -59.1415926536, -62.1415926536, -65.1415926536, -68.1415926536, -71.1415926536, more...

decimal, strictly-monotonic, +-

a(n)=ceil(a(n-1))-π
a(0)=1
π=3.141...
n≥0
4 operations
Recursive

Sequence 5qfqowgmo5yld

1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/10
a(0)=1
n≥0
4 operations
Recursive
a(n)=10^floor(-a(n-1))
a(0)=1
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/10
a(0)=1
n≥0
5 operations
Combinatoric
a(n)=agc(floor(a(n-1)))/10
a(0)=1
agc(n)=number of factorizations into prime powers (abelian group count)
n≥0
5 operations
Prime

Sequence 4qxfgfivgjxvh

1, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/9
a(0)=1
n≥0
4 operations
Recursive
a(n)=9^floor(-a(n-1))
a(0)=1
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/9
a(0)=1
n≥0
5 operations
Combinatoric
a(n)=agc(floor(a(n-1)))/9
a(0)=1
agc(n)=number of factorizations into prime powers (abelian group count)
n≥0
5 operations
Prime

Sequence otqbiaa3adcei

1, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/8
a(0)=1
n≥0
4 operations
Recursive
a(n)=8^floor(-a(n-1))
a(0)=1
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/8
a(0)=1
n≥0
5 operations
Combinatoric
a(n)=agc(floor(a(n-1)))/8
a(0)=1
agc(n)=number of factorizations into prime powers (abelian group count)
n≥0
5 operations
Prime

Sequence 3eqgelormciqj

1, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/7
a(0)=1
n≥0
4 operations
Recursive
a(n)=7^floor(-a(n-1))
a(0)=1
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/7
a(0)=1
n≥0
5 operations
Combinatoric
a(n)=agc(floor(a(n-1)))/7
a(0)=1
agc(n)=number of factorizations into prime powers (abelian group count)
n≥0
5 operations
Prime

Sequence r4vu1mrxuvugi

1, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/6
a(0)=1
n≥0
4 operations
Recursive
a(n)=6^floor(-a(n-1))
a(0)=1
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/6
a(0)=1
n≥0
5 operations
Combinatoric
a(n)=agc(floor(a(n-1)))/6
a(0)=1
agc(n)=number of factorizations into prime powers (abelian group count)
n≥0
5 operations
Prime

Sequence wefnmaoozwtdc

1, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/5
a(0)=1
n≥0
4 operations
Recursive
a(n)=5^floor(-a(n-1))
a(0)=1
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/5
a(0)=1
n≥0
5 operations
Combinatoric
a(n)=agc(floor(a(n-1)))/5
a(0)=1
agc(n)=number of factorizations into prime powers (abelian group count)
n≥0
5 operations
Prime

Sequence nwq0j3f141t1f

1, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/4
a(0)=1
n≥0
4 operations
Recursive
a(n)=4^floor(-a(n-1))
a(0)=1
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/4
a(0)=1
n≥0
5 operations
Combinatoric
a(n)=agc(floor(a(n-1)))/4
a(0)=1
agc(n)=number of factorizations into prime powers (abelian group count)
n≥0
5 operations
Prime

Sequence wvtm3dyqlkeco

1, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/π
a(0)=1
π=3.141...
n≥0
4 operations
Recursive
a(n)=π^floor(-a(n-1))
a(0)=1
π=3.141...
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/π
a(0)=1
π=3.141...
n≥0
5 operations
Combinatoric
a(n)=agc(floor(a(n-1)))/π
a(0)=1
agc(n)=number of factorizations into prime powers (abelian group count)
π=3.141...
n≥0
5 operations
Prime

Sequence prrxo2ymw4cgc

1, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/3
a(0)=1
n≥0
4 operations
Recursive
a(n)=3^floor(-a(n-1))
a(0)=1
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/3
a(0)=1
n≥0
5 operations
Combinatoric
a(n)=agc(floor(a(n-1)))/3
a(0)=1
agc(n)=number of factorizations into prime powers (abelian group count)
n≥0
5 operations
Prime

Sequence kdc3lyzyztsf

1, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/2
a(0)=1
n≥0
4 operations
Recursive
a(n)=(a(n-1)/2)^a(n-1)
a(0)=1
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/2
a(0)=1
n≥0
5 operations
Combinatoric
a(n)=1/gpf(2/a(n-1))
a(0)=1
gpf(n)=greatest prime factor of n
n≥0
6 operations
Prime
a(n)=a(n-1)/(2*a(n-1))%n
a(0)=1
n≥2
7 operations
Divisibility

Sequence 2rqivjvyebnaj

1, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, more...

decimal, non-monotonic, +

a(n)=π-ceil(a(n-1))
a(0)=1
π=3.141...
n≥0
4 operations
Recursive
a(n)=π-P(ceil(a(n-1)))
a(0)=1
π=3.141...
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=π-gpf(ceil(a(n-1)))
a(0)=1
π=3.141...
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence zcyfpuelegh0h

1, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, more...

decimal, non-monotonic, +

a(n)=π/ceil(a(n-1))
a(0)=1
π=3.141...
n≥0
4 operations
Recursive
a(n)=π/σ(round(a(n-1)))
a(0)=1
π=3.141...
σ(n)=divisor sum of n
n≥0
5 operations
Prime

Sequence oyibm4etghjph

1, 3.1415926536, 12.5663706144, 40.8407044967, 128.8052987972, 405.2654523131, 1275.4866173575, 4008.6722259806, 12594.6449482415, 39568.3594719634, 124309.6797098945, 390531.3827677472, 1226892.462191729, 3854398.035540742, 12108951.582403844, 38041394.64587143, 119510567.06430748, 375453522.4551434, 1179522029.6212065, 3705577744.1953197, 11641415820.997831, 36572586420.63759, more...

decimal, strictly-monotonic, +

a(n)=π*ceil(a(n-1))
a(0)=1
π=3.141...
n≥0
4 operations
Recursive

Sequence x1oaxk2ywnl3j

1, 4, 13, 41, 129, 406, 1276, 4009, 12595, 39569, 124310, 390532, 1226893, 3854399, 12108952, 38041395, 119510568, 375453523, 1179522030, 3705577745, 11641415821, 36572586421, more...

integer, strictly-monotonic, +

a(n)=ceil(π*a(n-1))
a(0)=1
π=3.141...
n≥0
4 operations
Recursive

Sequence umwvje2ighswl

1, 4.1415926536, 8.1415926536, 12.1415926536, 16.1415926536, 20.1415926536, 24.1415926536, 28.1415926536, 32.1415926536, 36.1415926536, 40.1415926536, 44.1415926536, 48.1415926536, 52.1415926536, 56.1415926536, 60.1415926536, 64.1415926536, 68.1415926536, 72.1415926536, 76.1415926536, 80.1415926536, 84.1415926536, 88.1415926536, 92.1415926536, 96.1415926536, more...

decimal, strictly-monotonic, +

a(n)=π+ceil(a(n-1))
a(0)=1
π=3.141...
n≥0
4 operations
Recursive

Sequence 20hrj00tb4a5i

2, -1.1415926536, -4.1415926536, -7.1415926536, -10.1415926536, -13.1415926536, -16.1415926536, -19.1415926536, -22.1415926536, -25.1415926536, -28.1415926536, -31.1415926536, -34.1415926536, -37.1415926536, -40.1415926536, -43.1415926536, -46.1415926536, -49.1415926536, -52.1415926536, -55.1415926536, -58.1415926536, -61.1415926536, -64.1415926536, -67.1415926536, -70.1415926536, more...

decimal, strictly-monotonic, +-

a(n)=ceil(a(n-1))-π
a(0)=2
π=3.141...
n≥0
4 operations
Recursive

Sequence o5hfr1z5ml1vg

2, 0.2, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/10
a(0)=2
n≥0
4 operations
Recursive
a(n)=ceil(sqrt(a(n-1)))/10
a(0)=2
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/10
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=τ(ceil(a(n-1)))/10
a(0)=2
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence gcgds3iecpu2k

2, 0.2222222222, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/9
a(0)=2
n≥0
4 operations
Recursive
a(n)=ceil(sqrt(a(n-1)))/9
a(0)=2
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/9
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=τ(ceil(a(n-1)))/9
a(0)=2
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence gc2fszlbqhboi

2, 0.25, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/8
a(0)=2
n≥0
4 operations
Recursive
a(n)=ceil(sqrt(a(n-1)))/8
a(0)=2
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/8
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=τ(ceil(a(n-1)))/8
a(0)=2
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence u13p5fmdkbnmn

2, 0.2857142857, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/7
a(0)=2
n≥0
4 operations
Recursive
a(n)=ceil(sqrt(a(n-1)))/7
a(0)=2
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/7
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=τ(ceil(a(n-1)))/7
a(0)=2
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence 1sovepu4bjhtp

2, 0.3333333333, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/6
a(0)=2
n≥0
4 operations
Recursive
a(n)=ceil(sqrt(a(n-1)))/6
a(0)=2
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/6
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=τ(ceil(a(n-1)))/6
a(0)=2
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence 102aqxbc3rbvk

2, 0.4, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/5
a(0)=2
n≥0
4 operations
Recursive
a(n)=ceil(sqrt(a(n-1)))/5
a(0)=2
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/5
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=τ(ceil(a(n-1)))/5
a(0)=2
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence nsh4vdfe3utke

2, 0.5, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/4
a(0)=2
n≥0
4 operations
Recursive
a(n)=ceil(sqrt(a(n-1)))/4
a(0)=2
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/4
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=10/∏(ϕ(a(n-1)))
a(0)=5
ϕ(n)=number of relative primes (Euler's totient)
∏(a)=partial products of a
n≥0
5 operations
Prime

Sequence geqerbrveqxyl

2, 0.5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

decimal, non-monotonic, +

a(n)=1/ceil(a(n-1))
a(0)=2
n≥0
4 operations
Recursive
a(n)=a(n-1)^(n-2)
a(0)=2
n≥0
5 operations
Power
a(n)=1/floor(a(n-1))!
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=1/ϕ(2*a(n-1))
a(0)=2
ϕ(n)=number of relative primes (Euler's totient)
n≥0
6 operations
Prime

Sequence c1s1jn3vvugxm

2, 0.6366197724, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/π
a(0)=2
π=3.141...
n≥0
4 operations
Recursive
a(n)=ceil(sqrt(a(n-1)))/π
a(0)=2
π=3.141...
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/π
a(0)=2
π=3.141...
n≥0
5 operations
Combinatoric
a(n)=τ(ceil(a(n-1)))/π
a(0)=2
τ(n)=number of divisors of n
π=3.141...
n≥0
5 operations
Prime

Sequence 04qqhm1tr0oxj

2, 0.6666666667, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/3
a(0)=2
n≥0
4 operations
Recursive
a(n)=ceil(sqrt(a(n-1)))/3
a(0)=2
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/3
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=τ(ceil(a(n-1)))/3
a(0)=2
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence etjcbacz4wnch

2, 1, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/2
a(0)=2
n≥0
4 operations
Recursive
a(n)=(a(n-1)/2)^a(n-1)
a(0)=2
n≥0
5 operations
Power
a(n)=floor(a(n-1))!/2
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=1/gpf(2/a(n-1))
a(0)=2
gpf(n)=greatest prime factor of n
n≥0
6 operations
Prime

Sequence nc4oovhadrppp

2, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, 1.1415926536, more...

decimal, monotonic, +

a(n)=π-ceil(a(n-1))
a(0)=2
π=3.141...
n≥0
4 operations
Recursive
a(n)=π-ceil(sqrt(a(n-1)))
a(0)=2
π=3.141...
n≥0
5 operations
Power
a(n)=π-ceil(a(n-1))!
a(0)=2
π=3.141...
n≥0
5 operations
Combinatoric
a(n)=π-τ(ceil(a(n-1)))
a(0)=2
π=3.141...
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence bqgslxa3zrqgf

2, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, 1.5, more...

decimal, monotonic, +

a(n)=3/ceil(a(n-1))
a(0)=2
n≥0
4 operations
Recursive
a(n)=3/ceil(sqrt(a(n-1)))
a(0)=2
n≥0
5 operations
Power
a(n)=3/ceil(a(n-1))!
a(0)=2
n≥0
5 operations
Combinatoric
a(n)=3/τ(ceil(a(n-1)))
a(0)=2
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence tj1yttivbsm3

2, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, more...

decimal, monotonic, +

a(n)=π/ceil(a(n-1))
a(0)=2
π=3.141...
n≥0
4 operations
Recursive
a(n)=π/ceil(sqrt(a(n-1)))
a(0)=2
π=3.141...
n≥0
5 operations
Power
a(n)=π/ceil(a(n-1))!
a(0)=2
π=3.141...
n≥0
5 operations
Combinatoric
a(n)=π/τ(ceil(a(n-1)))
a(0)=2
π=3.141...
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence k3ss1k4f1wstb

2, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, more...

decimal, non-monotonic, +

a(n)=5/ceil(a(n-1))
a(0)=2
n≥0
4 operations
Recursive
a(n)=5/P(ceil(a(n-1)))
a(0)=2
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=5/gpf(ceil(a(n-1)))
a(0)=2
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence 4uhf22kpfxhgp

2, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, more...

decimal, non-monotonic, +

a(n)=7/ceil(a(n-1))
a(0)=2
n≥0
4 operations
Recursive

Sequence djd4kvhkrdo3b

2, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, 4.5, 1.8, more...

decimal, non-monotonic, +

a(n)=9/ceil(a(n-1))
a(0)=2
n≥0
4 operations
Recursive
a(n)=9/gpf(ceil(a(n-1)))
a(0)=2
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence d3np3kpj0zkhb

2, 5.1415926536, 9.1415926536, 13.1415926536, 17.1415926536, 21.1415926536, 25.1415926536, 29.1415926536, 33.1415926536, 37.1415926536, 41.1415926536, 45.1415926536, 49.1415926536, 53.1415926536, 57.1415926536, 61.1415926536, 65.1415926536, 69.1415926536, 73.1415926536, 77.1415926536, 81.1415926536, 85.1415926536, 89.1415926536, 93.1415926536, 97.1415926536, more...

decimal, strictly-monotonic, +

a(n)=π+ceil(a(n-1))
a(0)=2
π=3.141...
n≥0
4 operations
Recursive

Sequence fg3fcidkyrr0p

2, 6.2831853072, 21.9911485751, 69.115038379, 219.9114857513, 691.1503837898, 2173.9821162841, 6829.8224289042, 21457.0778240183, 67412.2951607298, 211784.1855564487, 665342.2001405143, 2090236.6809173936, 6566673.203461569, 20629814.7969191, 64810475.248916514, 203608115.2772576, 639653761.4368584, 2009531559.540274, 6313129586.052836, 19833281531.679565, 62308091557.509315, more...

decimal, strictly-monotonic, +

a(n)=π*ceil(a(n-1))
a(0)=2
π=3.141...
n≥0
4 operations
Recursive

Sequence b1aqkhkh5bmkh

2, 7, 22, 70, 220, 692, 2174, 6830, 21458, 67413, 211785, 665343, 2090237, 6566674, 20629815, 64810476, 203608116, 639653762, 2009531560, 6313129587, 19833281532, 62308091558, more...

integer, strictly-monotonic, +

a(n)=ceil(π*a(n-1))
a(0)=2
π=3.141...
n≥0
4 operations
Recursive

Sequence xicypuz0sfbse

3, -0.1415926536, -3.1415926536, -6.1415926536, -9.1415926536, -12.1415926536, -15.1415926536, -18.1415926536, -21.1415926536, -24.1415926536, -27.1415926536, -30.1415926536, -33.1415926536, -36.1415926536, -39.1415926536, -42.1415926536, -45.1415926536, -48.1415926536, -51.1415926536, -54.1415926536, -57.1415926536, -60.1415926536, -63.1415926536, -66.1415926536, -69.1415926536, more...

decimal, strictly-monotonic, +-

a(n)=ceil(a(n-1))-π
a(0)=3
π=3.141...
n≥0
4 operations
Recursive

Sequence sndwazgv20iue

3, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, 0.1415926536, 2.1415926536, more...

decimal, non-monotonic, +

a(n)=π-ceil(a(n-1))
a(0)=3
π=3.141...
n≥0
4 operations
Recursive
a(n)=π-P(ceil(a(n-1)))
a(0)=3
π=3.141...
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=π-gpf(ceil(a(n-1)))
a(0)=3
π=3.141...
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence fcpqtqqgsdkq

3, 0.3, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/10
a(0)=3
n≥0
4 operations
Recursive
a(n)=P(floor(a(n-1)))/10
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/10
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence bldpwde1wcuhe

3, 0.3333333333, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/9
a(0)=3
n≥0
4 operations
Recursive
a(n)=P(floor(a(n-1)))/9
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/9
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence fhjh4v2lqcs4

3, 0.3333333333, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

decimal, non-monotonic, +

a(n)=1/ceil(a(n-1))
a(0)=3
n≥0
4 operations
Recursive
a(n)=a(n-1)^(n-2)
a(0)=3
n≥0
5 operations
Power
a(n)=1/P(floor(a(n-1)))
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=1/gpf(ceil(a(n-1)))
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence bfe1irm4qbbrc

3, 0.375, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/8
a(0)=3
n≥0
4 operations
Recursive
a(n)=P(floor(a(n-1)))/8
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/8
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence vjvn42upruxp

3, 0.4285714286, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/7
a(0)=3
n≥0
4 operations
Recursive
a(n)=P(floor(a(n-1)))/7
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/7
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence ibjvv3dpqe1np

3, 0.5, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/6
a(0)=3
n≥0
4 operations
Recursive
a(n)=P(floor(a(n-1)))/6
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/6
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence lbmlfyfg5211b

3, 0.6, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/5
a(0)=3
n≥0
4 operations
Recursive
a(n)=P(floor(a(n-1)))/5
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/5
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence jdltfbjwhirqc

3, 0.6666666667, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, more...

decimal, non-monotonic, +

a(n)=2/ceil(a(n-1))
a(0)=3
n≥0
4 operations
Recursive
a(n)=2/P(floor(a(n-1)))
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=2/gpf(ceil(a(n-1)))
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime
a(n)=2/a(n-1)^(n%2)
a(0)=3
n≥0
7 operations
Power

Sequence xwm4yttavbz4i

3, 0.75, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/4
a(0)=3
n≥0
4 operations
Recursive
a(n)=P(floor(a(n-1)))/4
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/4
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence hrz4pqymwtn0l

3, 0.9549296586, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/π
a(0)=3
π=3.141...
n≥0
4 operations
Recursive
a(n)=P(floor(a(n-1)))/π
a(0)=3
P(n)=Partition numbers
π=3.141...
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/π
a(0)=3
gpf(n)=greatest prime factor of n
π=3.141...
n≥0
5 operations
Prime

Sequence thdxjv0mmaehl

3, 1, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/3
a(0)=3
n≥0
4 operations
Recursive
a(n)=P(floor(a(n-1)))/3
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/3
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence ihkt2iqrvmsnj

3, 1.0471975512, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, 1.5707963268, more...

decimal, non-monotonic, +

a(n)=π/ceil(a(n-1))
a(0)=3
π=3.141...
n≥0
4 operations
Recursive
a(n)=π/P(ceil(a(n-1)))
a(0)=3
π=3.141...
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=π/gpf(ceil(a(n-1)))
a(0)=3
π=3.141...
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence bzxgsapaanjie

3, 1.3333333333, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

decimal, non-monotonic, +

a(n)=4/ceil(a(n-1))
a(0)=3
n≥0
4 operations
Recursive
a(n)=4/P(ceil(a(n-1)))
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=4/gpf(ceil(a(n-1)))
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence lvl44cnezqv3e

3, 1.5, 1, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/2
a(0)=3
n≥0
4 operations
Recursive
a(n)=P(ceil(a(n-1)))/2
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=gpf(ceil(a(n-1)))/2
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime
a(n)=log(sqrt(exp(ceil(a(n-1)))))
a(0)=3
n≥0
5 operations
Power

Sequence w2reebprp0hvh

3, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, more...

decimal, non-monotonic, +

a(n)=5/ceil(a(n-1))
a(0)=3
n≥0
4 operations
Recursive
a(n)=5/P(ceil(a(n-1)))
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=5/gpf(ceil(a(n-1)))
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence jyt3sor0n0o5

3, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, 2.3333333333, more...

decimal, monotonic, +

a(n)=7/ceil(a(n-1))
a(0)=3
n≥0
4 operations
Recursive
a(n)=7/P(ceil(a(n-1)))
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=7/gpf(ceil(a(n-1)))
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence qzveqdzzytcfh

3, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, 2.6666666667, more...

decimal, monotonic, +

a(n)=8/ceil(a(n-1))
a(0)=3
n≥0
4 operations
Recursive
a(n)=8/P(ceil(a(n-1)))
a(0)=3
P(n)=Partition numbers
n≥0
5 operations
Combinatoric
a(n)=8/gpf(ceil(a(n-1)))
a(0)=3
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence yni2yptmlyshh

3, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, more...

decimal, non-monotonic, +

a(n)=10/ceil(a(n-1))
a(0)=3
n≥0
4 operations
Recursive

Sequence ndkvtl2wx1q0

3, 6.1415926536, 10.1415926536, 14.1415926536, 18.1415926536, 22.1415926536, 26.1415926536, 30.1415926536, 34.1415926536, 38.1415926536, 42.1415926536, 46.1415926536, 50.1415926536, 54.1415926536, 58.1415926536, 62.1415926536, 66.1415926536, 70.1415926536, 74.1415926536, 78.1415926536, 82.1415926536, 86.1415926536, 90.1415926536, 94.1415926536, 98.1415926536, more...

decimal, strictly-monotonic, +

a(n)=π+ceil(a(n-1))
a(0)=3
π=3.141...
n≥0
4 operations
Recursive

Sequence 52btxp0ovri3l

3, 9.4247779608, 31.4159265359, 100.5309649149, 317.3008580126, 999.0264638416, 3141.5926535898, 9870.8841175791, 31010.6610835848, 97423.9297804731, 306066.522683332, 961537.8387062672, 3020760.7169474224, 9490000.565850558, 29813717.42415979, 93662557.44499777, 294249604.1292279, 924412397.3896985, 2904127198.4441237, 9123584673.468702, 28662586586.24283, 90046171454.60054, more...

decimal, strictly-monotonic, +

a(n)=π*ceil(a(n-1))
a(0)=3
π=3.141...
n≥0
4 operations
Recursive

Sequence go1bggingnole

3, 10, 32, 101, 318, 1000, 3142, 9871, 31011, 97424, 306067, 961538, 3020761, 9490001, 29813718, 93662558, 294249605, 924412398, 2904127199, 9123584674, 28662586587, 90046171455, more...

integer, strictly-monotonic, +

a(n)=ceil(π*a(n-1))
a(0)=3
π=3.141...
n≥0
4 operations
Recursive

Sequence ndmeaqqehetgo

4, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, -0.8584073464, 3.1415926536, more...

decimal, non-monotonic, +-

a(n)=π-ceil(a(n-1))
a(0)=4
π=3.141...
n≥0
4 operations
Recursive

Sequence 0vcizmu55wy0o

4, 0.25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

decimal, non-monotonic, +

a(n)=1/ceil(a(n-1))
a(0)=4
n≥0
4 operations
Recursive
a(n)=a(n-1)^(n-2)
a(0)=4
n≥0
5 operations
Power
a(n)=a(n-1)^(P(n)-2)
a(0)=4
P(n)=Partition numbers
n≥0
6 operations
Combinatoric
a(n)=a(n-1)^μ(2+n)
a(0)=4
μ(n)=Möbius function
n≥0
6 operations
Prime

Sequence xnfgtexfuenzc

4, 0.4, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/10
a(0)=4
n≥0
4 operations
Recursive

Sequence p30uvz0t2pydo

4, 0.4444444444, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/9
a(0)=4
n≥0
4 operations
Recursive

Sequence acsthlu2xy4vi

4, 0.5, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/8
a(0)=4
n≥0
4 operations
Recursive

Sequence fwboc3ja0hmaj

4, 0.5, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, more...

decimal, non-monotonic, +

a(n)=2/ceil(a(n-1))
a(0)=4
n≥0
4 operations
Recursive
a(n)=2/ϕ(2*a(n-1))
a(0)=4
ϕ(n)=number of relative primes (Euler's totient)
n≥0
6 operations
Prime

Sequence ojavzjygdvymo

4, 0.5714285714, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/7
a(0)=4
n≥0
4 operations
Recursive

Sequence lp13ih14i2zsb

4, 0.6666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/6
a(0)=4
n≥0
4 operations
Recursive

Sequence jeqr1eenzhbfe

4, 0.75, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, more...

decimal, non-monotonic, +

a(n)=3/ceil(a(n-1))
a(0)=4
n≥0
4 operations
Recursive

Sequence twwfl3zny0wyl

4, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, 0.7853981634, 3.1415926536, more...

decimal, non-monotonic, +

a(n)=π/ceil(a(n-1))
a(0)=4
π=3.141...
n≥0
4 operations
Recursive

Sequence cfsinbwed2nec

4, 0.8, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/5
a(0)=4
n≥0
4 operations
Recursive

Sequence irp2yxwr114je

4, 0.8584073464, -2.1415926536, -5.1415926536, -8.1415926536, -11.1415926536, -14.1415926536, -17.1415926536, -20.1415926536, -23.1415926536, -26.1415926536, -29.1415926536, -32.1415926536, -35.1415926536, -38.1415926536, -41.1415926536, -44.1415926536, -47.1415926536, -50.1415926536, -53.1415926536, -56.1415926536, -59.1415926536, -62.1415926536, -65.1415926536, -68.1415926536, more...

decimal, strictly-monotonic, +-

a(n)=ceil(a(n-1))-π
a(0)=4
π=3.141...
n≥0
4 operations
Recursive

Sequence r14s0zrn1sekd

4, 1, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/4
a(0)=4
n≥0
4 operations
Recursive

Sequence eybicb5b3h5fo

4, 1.25, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1.6666666667, 2.5, more...

decimal, non-monotonic, +

a(n)=5/ceil(a(n-1))
a(0)=4
n≥0
4 operations
Recursive
a(n)=10/composite(ceil(a(n-1)))
a(0)=4
composite(n)=nth composite number
n≥0
5 operations
Prime

Sequence dk1c1yutlfh0l

4, 1.2732395447, 0.6366197724, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/π
a(0)=4
π=3.141...
n≥0
4 operations
Recursive

Sequence lyihaa2mayvyn

4, 1.3333333333, 0.6666666667, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/3
a(0)=4
n≥0
4 operations
Recursive

Sequence jtgma4xikumkg

4, 1.5, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, more...

decimal, non-monotonic, +

a(n)=6/ceil(a(n-1))
a(0)=4
n≥0
4 operations
Recursive

Sequence pjxtjaflbpuyl

4, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, 1.75, 3.5, more...

decimal, non-monotonic, +

a(n)=7/ceil(a(n-1))
a(0)=4
n≥0
4 operations
Recursive

Sequence pnlosqgtn1pso

4, 2, 1, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, more...

decimal, monotonic, +

a(n)=ceil(a(n-1))/2
a(0)=4
n≥0
4 operations
Recursive
a(n)=log(sqrt(exp(ceil(a(n-1)))))
a(0)=4
n≥0
5 operations
Power

Sequence bicli1vmjy52g

4, 2.25, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, more...

decimal, non-monotonic, +

a(n)=9/ceil(a(n-1))
a(0)=4
n≥0
4 operations
Recursive

Sequence znm0ve5rbmjbn

4, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, 2.5, 3.3333333333, more...

decimal, non-monotonic, +

a(n)=10/ceil(a(n-1))
a(0)=4
n≥0
4 operations
Recursive

Sequence sejx0ac5vhqol

4, 7.1415926536, 11.1415926536, 15.1415926536, 19.1415926536, 23.1415926536, 27.1415926536, 31.1415926536, 35.1415926536, 39.1415926536, 43.1415926536, 47.1415926536, 51.1415926536, 55.1415926536, 59.1415926536, 63.1415926536, 67.1415926536, 71.1415926536, 75.1415926536, 79.1415926536, 83.1415926536, 87.1415926536, 91.1415926536, 95.1415926536, 99.1415926536, more...

decimal, strictly-monotonic, +

a(n)=π+ceil(a(n-1))
a(0)=4
π=3.141...
n≥0
4 operations
Recursive

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