Sequence Database

A database with 899757 machine generated integer and decimal sequences.

Displaying result 0-99 of total 46395. [0] [1] [2] [3] [4] ... [463]

Sequence tedqmvzugfstb

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

integer, non-monotonic, +, A002487

a(n)=stern(n)
stern(n)=Stern-Brocot sequence
n≥0
2 operations
Recursive
a(n)=stern(lcm(n, 2))
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Divisibility
a(n)=stern(sqrt(n*n))
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Power
a(n)=Ω(2^stern(n))
stern(n)=Stern-Brocot sequence
Ω(n)=max factorization terms
n≥0
5 operations
Prime

Sequence hkbamxejiornm

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

integer, non-monotonic, -

a(n)=-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
3 operations
Recursive
a(n)=-stern(lcm(n, 2))
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Divisibility

Sequence ml10wnhgjogxe

0, 1, 1, 4, 1, 7, 4, 9, 1, 14, 7, 13, 4, 29, 9, 16, 1, 23, 14, 43, 7, 36, 13, 29, 4, 43, 29, 64, 9, 67, 16, 25, 1, 34, 23, 89, 14, 115, 43, 46, 7, 85, 36, 79, 13, 46, 29, 79, 4, 97, more...

integer, non-monotonic, +, A286387

a(n)=stern(n²)
stern(n)=Stern-Brocot sequence
n≥0
3 operations
Recursive
a(n)=stern(lcm(n, 2)²)
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Divisibility
a(n)=stern(sqrt(n^4))
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Power

Sequence fu2oreb5xmtgg

0, 1, 1, 4, 1, 9, 4, 9, 1, 16, 9, 25, 4, 25, 9, 16, 1, 25, 16, 49, 9, 64, 25, 49, 4, 49, 25, 64, 9, 49, 16, 25, 1, 36, 25, 81, 16, 121, 49, 100, 9, 121, 64, 169, 25, 144, 49, 81, 4, 81, more...

integer, non-monotonic, +

a(n)=stern(n)²
stern(n)=Stern-Brocot sequence
n≥0
3 operations
Recursive
a(n)=stern(lcm(n, 2))²
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Divisibility
a(n)=sqrt(stern(n)^4)
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Power

Sequence pzq3co34cjcoc

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

integer, non-monotonic, +

a(n)=stern(stern(n))
stern(n)=Stern-Brocot sequence
n≥0
3 operations
Recursive
a(n)=stern(stern(lcm(n, 2)))
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Divisibility

Sequence t2zvoui4dn5xm

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

integer, non-monotonic, +-

a(n)=stern(n)-10
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 1pyqzbbwc5x4p

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

integer, non-monotonic, +-

a(n)=stern(n)-9
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 1oydyzchh2ywi

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

integer, non-monotonic, +-

a(n)=stern(n)-8
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence nkepj3dirprcg

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

integer, non-monotonic, +-

a(n)=stern(n)-7
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence byxr5bfuaaxrn

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

integer, non-monotonic, +-

a(n)=stern(n)-6
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence thjpgurquudjj

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

integer, non-monotonic, +-

a(n)=stern(n)-5
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence jywmw1blabqqj

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

integer, non-monotonic, +-

a(n)=stern(n)-4
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence qqrintu0u2cd

-3.1415926536, -2.1415926536, -2.1415926536, -1.1415926536, -2.1415926536, -0.1415926536, -1.1415926536, -0.1415926536, -2.1415926536, 0.8584073464, -0.1415926536, 1.8584073464, -1.1415926536, 1.8584073464, -0.1415926536, 0.8584073464, -2.1415926536, 1.8584073464, 0.8584073464, 3.8584073464, -0.1415926536, 4.8584073464, 1.8584073464, 3.8584073464, -1.1415926536, more...

decimal, non-monotonic, +-

a(n)=stern(n)-π
stern(n)=Stern-Brocot sequence
π=3.141...
n≥0
4 operations
Recursive

Sequence fdfs1qz5sttrf

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

integer, non-monotonic, +-

a(n)=stern(n)-3
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence yuyfgdi4wodlk

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

integer, non-monotonic, +-

a(n)=stern(n)-2
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence y0s0ih42u115p

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

integer, non-monotonic, +-

a(n)=stern(n)-1
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence usphg0rmbu5np

0, 0.1, 0.1, 0.2, 0.1, 0.3, 0.2, 0.3, 0.1, 0.4, 0.3, 0.5, 0.2, 0.5, 0.3, 0.4, 0.1, 0.5, 0.4, 0.7, 0.3, 0.8, 0.5, 0.7, 0.2, more...

decimal, non-monotonic, +

a(n)=stern(n)/10
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence gfy4jgp4hbuj

0, 0.1111111111, 0.1111111111, 0.2222222222, 0.1111111111, 0.3333333333, 0.2222222222, 0.3333333333, 0.1111111111, 0.4444444444, 0.3333333333, 0.5555555556, 0.2222222222, 0.5555555556, 0.3333333333, 0.4444444444, 0.1111111111, 0.5555555556, 0.4444444444, 0.7777777778, 0.3333333333, 0.8888888889, 0.5555555556, 0.7777777778, 0.2222222222, more...

decimal, non-monotonic, +

a(n)=stern(n)/9
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence wsbi1pi04p0qe

0, 0.125, 0.125, 0.25, 0.125, 0.375, 0.25, 0.375, 0.125, 0.5, 0.375, 0.625, 0.25, 0.625, 0.375, 0.5, 0.125, 0.625, 0.5, 0.875, 0.375, 1, 0.625, 0.875, 0.25, more...

decimal, non-monotonic, +

a(n)=stern(n)/8
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence ssk2afur5uivp

0, 0.1428571429, 0.1428571429, 0.2857142857, 0.1428571429, 0.4285714286, 0.2857142857, 0.4285714286, 0.1428571429, 0.5714285714, 0.4285714286, 0.7142857143, 0.2857142857, 0.7142857143, 0.4285714286, 0.5714285714, 0.1428571429, 0.7142857143, 0.5714285714, 1, 0.4285714286, 1.1428571429, 0.7142857143, 1, 0.2857142857, more...

decimal, non-monotonic, +

a(n)=stern(n)/7
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence epvvjyhvnx5cp

0, 0.1666666667, 0.1666666667, 0.3333333333, 0.1666666667, 0.5, 0.3333333333, 0.5, 0.1666666667, 0.6666666667, 0.5, 0.8333333333, 0.3333333333, 0.8333333333, 0.5, 0.6666666667, 0.1666666667, 0.8333333333, 0.6666666667, 1.1666666667, 0.5, 1.3333333333, 0.8333333333, 1.1666666667, 0.3333333333, more...

decimal, non-monotonic, +

a(n)=stern(n)/6
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 34ht0tohrbtkd

0, 0.2, 0.2, 0.4, 0.2, 0.6, 0.4, 0.6, 0.2, 0.8, 0.6, 1, 0.4, 1, 0.6, 0.8, 0.2, 1, 0.8, 1.4, 0.6, 1.6, 1, 1.4, 0.4, more...

decimal, non-monotonic, +

a(n)=stern(n)/5
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence knrbdstamjiam

0, 0.25, 0.25, 0.5, 0.25, 0.75, 0.5, 0.75, 0.25, 1, 0.75, 1.25, 0.5, 1.25, 0.75, 1, 0.25, 1.25, 1, 1.75, 0.75, 2, 1.25, 1.75, 0.5, more...

decimal, non-monotonic, +

a(n)=stern(n)/4
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence as3vhaz5bwjcd

0, 0.3183098862, 0.3183098862, 0.6366197724, 0.3183098862, 0.9549296586, 0.6366197724, 0.9549296586, 0.3183098862, 1.2732395447, 0.9549296586, 1.5915494309, 0.6366197724, 1.5915494309, 0.9549296586, 1.2732395447, 0.3183098862, 1.5915494309, 1.2732395447, 2.2281692033, 0.9549296586, 2.5464790895, 1.5915494309, 2.2281692033, 0.6366197724, more...

decimal, non-monotonic, +

a(n)=stern(n)/π
stern(n)=Stern-Brocot sequence
π=3.141...
n≥0
4 operations
Recursive

Sequence mlxqxogr2p4zc

0, 0.3333333333, 0.3333333333, 0.6666666667, 0.3333333333, 1, 0.6666666667, 1, 0.3333333333, 1.3333333333, 1, 1.6666666667, 0.6666666667, 1.6666666667, 1, 1.3333333333, 0.3333333333, 1.6666666667, 1.3333333333, 2.3333333333, 1, 2.6666666667, 1.6666666667, 2.3333333333, 0.6666666667, more...

decimal, non-monotonic, +

a(n)=stern(n)/3
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 1wduvqzaz0bjn

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

decimal, non-monotonic, +

a(n)=stern(n)/2
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive
a(n)=log(sqrt(exp(stern(n))))
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Power

Sequence xs1e3civvdznl

0, 2, 2, 4, 2, 4, 4, 8, 2, 8, 4, 6, 4, 10, 8, 12, 2, 12, 8, 10, 4, 6, 6, 14, 4, 18, 10, 14, 8, 18, 12, 16, 2, 16, 12, 18, 8, 14, 10, 18, 4, 14, 6, 8, 6, 16, 14, 22, 4, 26, more...

integer, non-monotonic, +

a(n)=stern(3*n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence lwuktlwmg3xii

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

integer, non-monotonic, +, A126606

a(n)=2*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence p3ohctxji515

0, 3, 3, 4, 3, 7, 4, 9, 3, 12, 7, 11, 4, 7, 9, 18, 3, 21, 12, 11, 7, 18, 11, 17, 4, 11, 7, 16, 9, 19, 18, 27, 3, 30, 21, 23, 12, 23, 11, 20, 7, 29, 18, 29, 11, 16, 17, 29, 4, 23, more...

integer, non-monotonic, +

a(n)=stern(5*n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence retywb53nztqg

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

integer, non-monotonic, +

a(n)=3*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence bxenmjtaq5i2c

0, 3, 3, 8, 3, 9, 8, 9, 3, 6, 9, 17, 8, 19, 9, 18, 3, 15, 6, 17, 9, 26, 17, 17, 8, 23, 19, 20, 9, 31, 18, 27, 3, 24, 15, 23, 6, 15, 17, 24, 9, 21, 26, 43, 17, 36, 17, 41, 8, 47, more...

integer, non-monotonic, +

a(n)=stern(7*n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 5ijy2bms5zeyd

0, 3.1415926536, 3.1415926536, 6.2831853072, 3.1415926536, 9.4247779608, 6.2831853072, 9.4247779608, 3.1415926536, 12.5663706144, 9.4247779608, 15.7079632679, 6.2831853072, 15.7079632679, 9.4247779608, 12.5663706144, 3.1415926536, 15.7079632679, 12.5663706144, 21.9911485751, 9.4247779608, 25.1327412287, 15.7079632679, 21.9911485751, 6.2831853072, more...

decimal, non-monotonic, +

a(n)=π*stern(n)
π=3.141...
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence cony5xyeej2en

0, 4, 4, 8, 4, 12, 8, 6, 4, 14, 12, 16, 8, 18, 6, 16, 4, 24, 14, 34, 12, 20, 16, 22, 8, 16, 18, 22, 6, 20, 16, 32, 4, 40, 24, 36, 14, 46, 34, 28, 12, 30, 20, 24, 16, 50, 22, 44, 8, 36, more...

integer, non-monotonic, +

a(n)=stern(9*n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence s1nvgcl12qako

0, 4, 4, 8, 4, 12, 8, 12, 4, 16, 12, 20, 8, 20, 12, 16, 4, 20, 16, 28, 12, 32, 20, 28, 8, 28, 20, 32, 12, 28, 16, 20, 4, 24, 20, 36, 16, 44, 28, 40, 12, 44, 32, 52, 20, 48, 28, 36, 8, 36, more...

integer, non-monotonic, +

a(n)=4*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence gnklnwp1k3hzh

0, 5, 5, 10, 5, 15, 10, 15, 5, 20, 15, 25, 10, 25, 15, 20, 5, 25, 20, 35, 15, 40, 25, 35, 10, 35, 25, 40, 15, 35, 20, 25, 5, 30, 25, 45, 20, 55, 35, 50, 15, 55, 40, 65, 25, 60, 35, 45, 10, 45, more...

integer, non-monotonic, +

a(n)=5*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 3ropmyrsagx3h

0, 6, 6, 12, 6, 18, 12, 18, 6, 24, 18, 30, 12, 30, 18, 24, 6, 30, 24, 42, 18, 48, 30, 42, 12, 42, 30, 48, 18, 42, 24, 30, 6, 36, 30, 54, 24, 66, 42, 60, 18, 66, 48, 78, 30, 72, 42, 54, 12, 54, more...

integer, non-monotonic, +

a(n)=6*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence cfj1tyv25ednj

0, 7, 7, 14, 7, 21, 14, 21, 7, 28, 21, 35, 14, 35, 21, 28, 7, 35, 28, 49, 21, 56, 35, 49, 14, 49, 35, 56, 21, 49, 28, 35, 7, 42, 35, 63, 28, 77, 49, 70, 21, 77, 56, 91, 35, 84, 49, 63, 14, 63, more...

integer, non-monotonic, +

a(n)=7*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence ewysharu1ovod

0, 8, 8, 16, 8, 24, 16, 24, 8, 32, 24, 40, 16, 40, 24, 32, 8, 40, 32, 56, 24, 64, 40, 56, 16, 56, 40, 64, 24, 56, 32, 40, 8, 48, 40, 72, 32, 88, 56, 80, 24, 88, 64, 104, 40, 96, 56, 72, 16, 72, more...

integer, non-monotonic, +

a(n)=8*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence otamzyrz0xskl

0, 9, 9, 18, 9, 27, 18, 27, 9, 36, 27, 45, 18, 45, 27, 36, 9, 45, 36, 63, 27, 72, 45, 63, 18, 63, 45, 72, 27, 63, 36, 45, 9, 54, 45, 81, 36, 99, 63, 90, 27, 99, 72, 117, 45, 108, 63, 81, 18, 81, more...

integer, non-monotonic, +

a(n)=9*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence mq2yxhumpen3e

0, 10, 10, 20, 10, 30, 20, 30, 10, 40, 30, 50, 20, 50, 30, 40, 10, 50, 40, 70, 30, 80, 50, 70, 20, 70, 50, 80, 30, 70, 40, 50, 10, 60, 50, 90, 40, 110, 70, 100, 30, 110, 80, 130, 50, 120, 70, 90, 20, 90, more...

integer, non-monotonic, +

a(n)=10*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence xfnnvrtj5hcvm

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

integer, non-monotonic, +-

a(n)=1-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 5ehzfqvy5qnce

1, 1, 0.5, 1, 0.3333333333, 0.5, 0.3333333333, 1, 0.25, 0.3333333333, 0.2, 0.5, 0.2, 0.3333333333, 0.25, 1, 0.2, 0.25, 0.1428571429, 0.3333333333, 0.125, 0.2, 0.1428571429, 0.5, 0.1428571429, more...

decimal, non-monotonic, +

a(n)=1/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive
a(n)=exp(-log(stern(n)))
stern(n)=Stern-Brocot sequence
n≥1
5 operations
Power

Sequence rrsvsxncxcmvo

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

integer, non-monotonic, +

a(n)=stern(1+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive
a(n)=stern(lcm(n, gpf(n)))
gpf(n)=greatest prime factor of n
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
n≥1
5 operations
Prime
a(n)=exp(abs(log(stern(n))))
stern(n)=Stern-Brocot sequence
n≥1
5 operations
Power

Sequence l2r5w43ywrbrb

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

integer, non-monotonic, +

a(n)=stern(2+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive
a(n)=stern(∑(gcd(a(n-1), a(n-2))))
a(0)=1
a(1)=2
gcd(a,b)=greatest common divisor
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Divisibility
a(n)=stern(floor(∑(sqrt(a(n-1)))))
a(0)=2
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Power

Sequence if3u5quehqdif

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

integer, non-monotonic, +

a(n)=1+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive
a(n)=τ(2^stern(n))
stern(n)=Stern-Brocot sequence
τ(n)=number of divisors of n
n≥0
5 operations
Prime

Sequence hyzzlltilwayi

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

integer, non-monotonic, +

a(n)=stern(4+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive
a(n)=stern(∑(gcd(a(n-1), a(n-2))))
a(0)=2
a(1)=3
gcd(a,b)=greatest common divisor
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Divisibility

Sequence dbnvjxg04vcto

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

integer, non-monotonic, +

a(n)=stern(8+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence apavyijtk2zgn

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

integer, non-monotonic, +-

a(n)=2-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence u4g4ueir13xsk

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

integer, non-monotonic, +

a(n)=stern(3+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive
a(n)=stern(∑(lpf(catalan(a(n-1)))))
a(0)=3
lpf(n)=least prime factor of n
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Prime

Sequence jc4eznmthvcwg

2, 2, 1, 2, 0.6666666667, 1, 0.6666666667, 2, 0.5, 0.6666666667, 0.4, 1, 0.4, 0.6666666667, 0.5, 2, 0.4, 0.5, 0.2857142857, 0.6666666667, 0.25, 0.4, 0.2857142857, 1, 0.2857142857, more...

decimal, non-monotonic, +

a(n)=2/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence fyxhavxejv5s

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

integer, non-monotonic, +

a(n)=stern(6+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive
a(n)=stern(∑(agc(a(n-1))²))
a(0)=3
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Prime

Sequence 4jfbp1j0oferb

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

integer, non-monotonic, +

a(n)=2+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence kai52jdaxis0n

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

integer, non-monotonic, +

a(n)=stern(7+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive
a(n)=stern(∑(pt(P(a(n-1)))))
a(0)=5
P(n)=Partition numbers
pt(n)=Pascals triangle by rows
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Combinatoric

Sequence xgqqtqewwak1l

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

integer, non-monotonic, +-

a(n)=3-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 43gouvc1lmwce

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

integer, non-monotonic, +

a(n)=stern(5+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence l01eezntdge0m

3, 3, 1.5, 3, 1, 1.5, 1, 3, 0.75, 1, 0.6, 1.5, 0.6, 1, 0.75, 3, 0.6, 0.75, 0.4285714286, 1, 0.375, 0.6, 0.4285714286, 1.5, 0.4285714286, more...

decimal, non-monotonic, +

a(n)=3/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence iece3rqwqh01

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

integer, non-monotonic, +

a(n)=3+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence nmrmlcq252cm

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

integer, non-monotonic, +

a(n)=stern(10+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence bgmhtatj50luo

3.1415926536, 2.1415926536, 2.1415926536, 1.1415926536, 2.1415926536, 0.1415926536, 1.1415926536, 0.1415926536, 2.1415926536, -0.8584073464, 0.1415926536, -1.8584073464, 1.1415926536, -1.8584073464, 0.1415926536, -0.8584073464, 2.1415926536, -1.8584073464, -0.8584073464, -3.8584073464, 0.1415926536, -4.8584073464, -1.8584073464, -3.8584073464, 1.1415926536, more...

decimal, non-monotonic, +-

a(n)=π-stern(n)
π=3.141...
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence gfnjw0ktpcj2

3.1415926536, 3.1415926536, 1.5707963268, 3.1415926536, 1.0471975512, 1.5707963268, 1.0471975512, 3.1415926536, 0.7853981634, 1.0471975512, 0.6283185307, 1.5707963268, 0.6283185307, 1.0471975512, 0.7853981634, 3.1415926536, 0.6283185307, 0.7853981634, 0.4487989505, 1.0471975512, 0.3926990817, 0.6283185307, 0.4487989505, 1.5707963268, 0.4487989505, more...

decimal, non-monotonic, +

a(n)=π/stern(n)
π=3.141...
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence qmmtbu4byw1ce

3.1415926536, 4.1415926536, 4.1415926536, 5.1415926536, 4.1415926536, 6.1415926536, 5.1415926536, 6.1415926536, 4.1415926536, 7.1415926536, 6.1415926536, 8.1415926536, 5.1415926536, 8.1415926536, 6.1415926536, 7.1415926536, 4.1415926536, 8.1415926536, 7.1415926536, 10.1415926536, 6.1415926536, 11.1415926536, 8.1415926536, 10.1415926536, 5.1415926536, more...

decimal, non-monotonic, +

a(n)=π+stern(n)
π=3.141...
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence ijfejyzdn5qkn

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

integer, non-monotonic, +-

a(n)=4-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence e1azrg5esogcp

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

integer, non-monotonic, +

a(n)=stern(9+n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 2rrgzb1ntsivb

4, 4, 2, 4, 1.3333333333, 2, 1.3333333333, 4, 1, 1.3333333333, 0.8, 2, 0.8, 1.3333333333, 1, 4, 0.8, 1, 0.5714285714, 1.3333333333, 0.5, 0.8, 0.5714285714, 2, 0.5714285714, more...

decimal, non-monotonic, +

a(n)=4/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence b4caxepdtr15k

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

integer, non-monotonic, +

a(n)=4+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence oe0zlv5032spm

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

integer, non-monotonic, +-

a(n)=5-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence x5dqrejxqm4yn

5, 5, 2.5, 5, 1.6666666667, 2.5, 1.6666666667, 5, 1.25, 1.6666666667, 1, 2.5, 1, 1.6666666667, 1.25, 5, 1, 1.25, 0.7142857143, 1.6666666667, 0.625, 1, 0.7142857143, 2.5, 0.7142857143, more...

decimal, non-monotonic, +

a(n)=5/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence lwwb1vsdbnp1h

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

integer, non-monotonic, +

a(n)=5+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence xv3t1y2jebprf

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

integer, non-monotonic, +-

a(n)=6-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence hbmexbxfanrbn

6, 6, 3, 6, 2, 3, 2, 6, 1.5, 2, 1.2, 3, 1.2, 2, 1.5, 6, 1.2, 1.5, 0.8571428571, 2, 0.75, 1.2, 0.8571428571, 3, 0.8571428571, more...

decimal, non-monotonic, +

a(n)=6/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence 5025wzj022qxh

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

integer, non-monotonic, +

a(n)=6+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence h0vpqdq3zncxn

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

integer, non-monotonic, +-

a(n)=7-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence ng1uygr4upkvc

7, 7, 3.5, 7, 2.3333333333, 3.5, 2.3333333333, 7, 1.75, 2.3333333333, 1.4, 3.5, 1.4, 2.3333333333, 1.75, 7, 1.4, 1.75, 1, 2.3333333333, 0.875, 1.4, 1, 3.5, 1, more...

decimal, non-monotonic, +

a(n)=7/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence aimoskltee3uo

7, 8, 8, 9, 8, 10, 9, 10, 8, 11, 10, 12, 9, 12, 10, 11, 8, 12, 11, 14, 10, 15, 12, 14, 9, 14, 12, 15, 10, 14, 11, 12, 8, 13, 12, 16, 11, 18, 14, 17, 10, 18, 15, 20, 12, 19, 14, 16, 9, 16, more...

integer, non-monotonic, +

a(n)=7+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence eqm2lf4x15g2l

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

integer, non-monotonic, +-

a(n)=8-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 0adlhqvi3ggbp

8, 8, 4, 8, 2.6666666667, 4, 2.6666666667, 8, 2, 2.6666666667, 1.6, 4, 1.6, 2.6666666667, 2, 8, 1.6, 2, 1.1428571429, 2.6666666667, 1, 1.6, 1.1428571429, 4, 1.1428571429, more...

decimal, non-monotonic, +

a(n)=8/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence 1cyiiinnss2gk

8, 9, 9, 10, 9, 11, 10, 11, 9, 12, 11, 13, 10, 13, 11, 12, 9, 13, 12, 15, 11, 16, 13, 15, 10, 15, 13, 16, 11, 15, 12, 13, 9, 14, 13, 17, 12, 19, 15, 18, 11, 19, 16, 21, 13, 20, 15, 17, 10, 17, more...

integer, non-monotonic, +

a(n)=8+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence p3keymkv3lgoc

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

integer, non-monotonic, +-

a(n)=9-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence xilq2wf1ntacf

9, 9, 4.5, 9, 3, 4.5, 3, 9, 2.25, 3, 1.8, 4.5, 1.8, 3, 2.25, 9, 1.8, 2.25, 1.2857142857, 3, 1.125, 1.8, 1.2857142857, 4.5, 1.2857142857, more...

decimal, non-monotonic, +

a(n)=9/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence nwifpnu2defoh

9, 10, 10, 11, 10, 12, 11, 12, 10, 13, 12, 14, 11, 14, 12, 13, 10, 14, 13, 16, 12, 17, 14, 16, 11, 16, 14, 17, 12, 16, 13, 14, 10, 15, 14, 18, 13, 20, 16, 19, 12, 20, 17, 22, 14, 21, 16, 18, 11, 18, more...

integer, non-monotonic, +

a(n)=9+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence ll0gjij3dl01b

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

integer, non-monotonic, +-

a(n)=10-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence gooxg53csc2mk

10, 10, 5, 10, 3.3333333333, 5, 3.3333333333, 10, 2.5, 3.3333333333, 2, 5, 2, 3.3333333333, 2.5, 10, 2, 2.5, 1.4285714286, 3.3333333333, 1.25, 2, 1.4285714286, 5, 1.4285714286, more...

decimal, non-monotonic, +

a(n)=10/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence 3qqx0di3vds3m

10, 11, 11, 12, 11, 13, 12, 13, 11, 14, 13, 15, 12, 15, 13, 14, 11, 15, 14, 17, 13, 18, 15, 17, 12, 17, 15, 18, 13, 17, 14, 15, 11, 16, 15, 19, 14, 21, 17, 20, 13, 21, 18, 23, 15, 22, 17, 19, 12, 19, more...

integer, non-monotonic, +

a(n)=10+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence avvwp50xazwz

0, 1, 2, 2, 3, 4, 8, 3, 4, 12, 11, 6, 10, 19, 18, 4, 5, 24, 34, 11, 18, 24, 13, 14, 18, 39, 28, 20, 31, 46, 32, 5, 6, 40, 69, 36, 46, 33, 62, 20, 29, 66, 42, 37, 24, 38, 53, 22, 26, 89, more...

integer, non-monotonic, +

a(n)=stern(∑(n))
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
3 operations
Recursive
a(n)=stern(lcm(∑(n), 2))
∑(a)=partial sums of a
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Divisibility
a(n)=stern(∑(C(n, a(n-1))))
a(0)=0
C(n,k)=binomial coefficient
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Combinatoric

Sequence mrr5xzcftqxsg

0, 1, 2, 4, 5, 8, 10, 13, 14, 18, 21, 26, 28, 33, 36, 40, 41, 46, 50, 57, 60, 68, 73, 80, 82, 89, 94, 102, 105, 112, 116, 121, 122, 128, 133, 142, 146, 157, 164, 174, 177, 188, 196, 209, 214, 226, 233, 242, 244, 253, more...

integer, strictly-monotonic, +, A174868

a(n)=∑(stern(n))
stern(n)=Stern-Brocot sequence
∑(a)=partial sums of a
n≥0
3 operations
Recursive
a(n)=∑(stern(lcm(n, 2)))
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
∑(a)=partial sums of a
n≥0
5 operations
Divisibility

Sequence cy4jqnfcrgbrf

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

integer, non-monotonic, +-

a(n)=Δ(stern(n))
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
3 operations
Recursive
a(n)=Δ(stern(lcm(n, 2)))
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Divisibility

Sequence 03bgrabg1igme

1, 1, 2, 2, 6, 12, 36, 36, 144, 432, 2160, 4320, 21600, 64800, 259200, 259200, 1296000, 5184000, 36288000, 108864000, 870912000, 4354560000, 30481920000, 60963840000, more...

integer, monotonic, +

a(n)=∏(stern(n))
stern(n)=Stern-Brocot sequence
∏(a)=partial products of a
n≥1
3 operations
Recursive
a(n)=∏(stern(lcm(n, 2)))
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
∏(a)=partial products of a
n≥1
5 operations
Divisibility

Sequence dymd0vnheofq

0, 0, -1, -1, -3, -2, -4, -4, -7, -5, -7, -6, -10, -8, -11, -11, -15, -12, -14, -12, -17, -13, -17, -16, -22, -18, -21, -19, -25, -22, -26, -26, -31, -27, -29, -26, -32, -26, -31, -29, -37, -30, -34, -30, -39, -33, -39, -38, -46, -40, more...

integer, non-monotonic, -

a(n)=stern(n)-n
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence qokigjzdztmkg

0, 0, 1, 1, 3, 2, 4, 4, 7, 5, 7, 6, 10, 8, 11, 11, 15, 12, 14, 12, 17, 13, 17, 16, 22, 18, 21, 19, 25, 22, 26, 26, 31, 27, 29, 26, 32, 26, 31, 29, 37, 30, 34, 30, 39, 33, 39, 38, 46, 40, more...

integer, non-monotonic, +, A284013

a(n)=n-stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence peszxww2mddfl

0, 1, 2, 6, 4, 15, 12, 21, 8, 36, 30, 55, 24, 65, 42, 60, 16, 85, 72, 133, 60, 168, 110, 161, 48, 175, 130, 216, 84, 203, 120, 155, 32, 198, 170, 315, 144, 407, 266, 390, 120, 451, 336, 559, 220, 540, 322, 423, 96, 441, more...

integer, non-monotonic, +

a(n)=n*stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence jtqt10qayswtb

0, 2, 3, 5, 5, 8, 8, 10, 9, 13, 13, 16, 14, 18, 17, 19, 17, 22, 22, 26, 23, 29, 27, 30, 26, 32, 31, 35, 31, 36, 34, 36, 33, 39, 39, 44, 40, 48, 45, 49, 43, 52, 50, 56, 49, 57, 53, 56, 50, 58, more...

integer, non-monotonic, +

a(n)=n+stern(n)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence l5ne12ahwsz1g

1, 0.5, 0.6666666667, 0.25, 0.6, 0.3333333333, 0.4285714286, 0.125, 0.4444444444, 0.3, 0.4545454545, 0.1666666667, 0.3846153846, 0.2142857143, 0.2666666667, 0.0625, 0.2941176471, 0.2222222222, 0.3684210526, 0.15, 0.380952381, 0.2272727273, 0.3043478261, 0.0833333333, 0.28, more...

decimal, non-monotonic, +

a(n)=stern(n)/n
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence e04slu5m0wcjo

1, 2, 1.5, 4, 1.6666666667, 3, 2.3333333333, 8, 2.25, 3.3333333333, 2.2, 6, 2.6, 4.6666666667, 3.75, 16, 3.4, 4.5, 2.7142857143, 6.6666666667, 2.625, 4.4, 3.2857142857, 12, 3.5714285714, more...

decimal, non-monotonic, +

a(n)=n/stern(n)
stern(n)=Stern-Brocot sequence
n≥1
4 operations
Recursive

Sequence fckafmmtpvbyi

0, -1, -1, -4, -1, -9, -4, -9, -1, -16, -9, -25, -4, -25, -9, -16, -1, -25, -16, -49, -9, -64, -25, -49, -4, -49, -25, -64, -9, -49, -16, -25, -1, -36, -25, -81, -16, -121, -49, -100, -9, -121, -64, -169, -25, -144, -49, -81, -4, -81, more...

integer, non-monotonic, -

a(n)=-stern(n)²
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence ymh200bsaxdxc

0, -1, -1, -4, -1, -7, -4, -9, -1, -14, -7, -13, -4, -29, -9, -16, -1, -23, -14, -43, -7, -36, -13, -29, -4, -43, -29, -64, -9, -67, -16, -25, -1, -34, -23, -89, -14, -115, -43, -46, -7, -85, -36, -79, -13, -46, -29, -79, -4, -97, more...

integer, non-monotonic, -

a(n)=-stern(n²)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 5spteesioenxk

0, 1, 1, 16, 1, 49, 16, 81, 1, 196, 49, 169, 16, 841, 81, 256, 1, 529, 196, 1849, 49, 1296, 169, 841, 16, 1849, 841, 4096, 81, 4489, 256, 625, 1, 1156, 529, 7921, 196, 13225, 1849, 2116, 49, 7225, 1296, 6241, 169, 2116, 841, 6241, 16, 9409, more...

integer, non-monotonic, +

a(n)=stern(n²)²
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence o4mmnae3on15i

0, 8, 9, 12, 10, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, more...

integer, non-monotonic, +

a(n)=8+stern(a(n-1))
a(0)=0
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence pl4sxs3njdg4m

0, 0, 0.6931471806, 0, 1.0986122887, 0.6931471806, 1.0986122887, 0, 1.3862943611, 1.0986122887, 1.6094379124, 0.6931471806, 1.6094379124, 1.0986122887, 1.3862943611, 0, 1.6094379124, 1.3862943611, 1.9459101491, 1.0986122887, 2.0794415417, 1.6094379124, 1.9459101491, 0.6931471806, 1.9459101491, more...

decimal, non-monotonic, +

a(n)=log(stern(n))
stern(n)=Stern-Brocot sequence
n≥1
3 operations
Power

Sequence ukzi0fgsxfxwc

0, 1, 1, 1.4142135624, 1, 1.7320508076, 1.4142135624, 1.7320508076, 1, 2, 1.7320508076, 2.2360679775, 1.4142135624, 2.2360679775, 1.7320508076, 2, 1, 2.2360679775, 2, 2.6457513111, 1.7320508076, 2.8284271247, 2.2360679775, 2.6457513111, 1.4142135624, more...

decimal, non-monotonic, +

a(n)=sqrt(stern(n))
stern(n)=Stern-Brocot sequence
n≥0
3 operations
Power

Sequence fjzecfpyv4chf

1, 2.7182818285, 2.7182818285, 7.3890560989, 2.7182818285, 20.0855369232, 7.3890560989, 20.0855369232, 2.7182818285, 54.5981500331, 20.0855369232, 148.4131591026, 7.3890560989, 148.4131591026, 20.0855369232, 54.5981500331, 2.7182818285, 148.4131591026, 54.5981500331, 1096.6331584285, 20.0855369232, 2980.9579870417, 148.4131591026, 1096.6331584285, 7.3890560989, more...

decimal, non-monotonic, +

a(n)=exp(stern(n))
stern(n)=Stern-Brocot sequence
n≥0
3 operations
Power

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