Sequence Database

A database with 734481 machine generated integer and decimal sequences.

Displaying result 0-99 of total 33760. [0] [1] [2] [3] [4] ... [337]

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 4browf1p40yli

-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, 3.8584073464, 1.8584073464, 4.8584073464, -0.1415926536, 3.8584073464, 0.8584073464, 1.8584073464, -2.1415926536, 2.8584073464, 1.8584073464, 5.8584073464, 0.8584073464, 7.8584073464, 3.8584073464, 6.8584073464, -0.1415926536, 7.8584073464, 4.8584073464, 9.8584073464, 1.8584073464, 8.8584073464, 3.8584073464, 5.8584073464, -1.1415926536, 5.8584073464, 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 5geoldg2p4nwc

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, 0.7, 0.5, 0.8, 0.3, 0.7, 0.4, 0.5, 0.1, 0.6, 0.5, 0.9, 0.4, 1.1, 0.7, 1, 0.3, 1.1, 0.8, 1.3, 0.5, 1.2, 0.7, 0.9, 0.2, 0.9, more...

decimal, non-monotonic, +

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

Sequence 2aaib4lkkssym

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, 0.7777777778, 0.5555555556, 0.8888888889, 0.3333333333, 0.7777777778, 0.4444444444, 0.5555555556, 0.1111111111, 0.6666666667, 0.5555555556, 1, 0.4444444444, 1.2222222222, 0.7777777778, 1.1111111111, 0.3333333333, 1.2222222222, 0.8888888889, 1.4444444444, 0.5555555556, 1.3333333333, 0.7777777778, 1, 0.2222222222, 1, more...

decimal, non-monotonic, +

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

Sequence gukxxabo4rphj

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, 0.875, 0.625, 1, 0.375, 0.875, 0.5, 0.625, 0.125, 0.75, 0.625, 1.125, 0.5, 1.375, 0.875, 1.25, 0.375, 1.375, 1, 1.625, 0.625, 1.5, 0.875, 1.125, 0.25, 1.125, more...

decimal, non-monotonic, +

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

Sequence 10nffb2btnfxi

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, 1, 0.7142857143, 1.1428571429, 0.4285714286, 1, 0.5714285714, 0.7142857143, 0.1428571429, 0.8571428571, 0.7142857143, 1.2857142857, 0.5714285714, 1.5714285714, 1, 1.4285714286, 0.4285714286, 1.5714285714, 1.1428571429, 1.8571428571, 0.7142857143, 1.7142857143, 1, 1.2857142857, 0.2857142857, 1.2857142857, more...

decimal, non-monotonic, +

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

Sequence yos3xa5dklyx

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, 1.1666666667, 0.8333333333, 1.3333333333, 0.5, 1.1666666667, 0.6666666667, 0.8333333333, 0.1666666667, 1, 0.8333333333, 1.5, 0.6666666667, 1.8333333333, 1.1666666667, 1.6666666667, 0.5, 1.8333333333, 1.3333333333, 2.1666666667, 0.8333333333, 2, 1.1666666667, 1.5, 0.3333333333, 1.5, more...

decimal, non-monotonic, +

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

Sequence og0pcepimbsxf

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, 1.4, 1, 1.6, 0.6, 1.4, 0.8, 1, 0.2, 1.2, 1, 1.8, 0.8, 2.2, 1.4, 2, 0.6, 2.2, 1.6, 2.6, 1, 2.4, 1.4, 1.8, 0.4, 1.8, more...

decimal, non-monotonic, +

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

Sequence 0edjz2kvbchxe

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, 1.75, 1.25, 2, 0.75, 1.75, 1, 1.25, 0.25, 1.5, 1.25, 2.25, 1, 2.75, 1.75, 2.5, 0.75, 2.75, 2, 3.25, 1.25, 3, 1.75, 2.25, 0.5, 2.25, more...

decimal, non-monotonic, +

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

Sequence sjfyeqwj3khjm

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, 2.2281692033, 1.5915494309, 2.5464790895, 0.9549296586, 2.2281692033, 1.2732395447, 1.5915494309, 0.3183098862, 1.9098593171, 1.5915494309, 2.8647889757, 1.2732395447, 3.501408748, 2.2281692033, 3.1830988618, 0.9549296586, 3.501408748, 2.5464790895, 4.1380285204, 1.5915494309, 3.8197186342, 2.2281692033, 2.8647889757, 0.6366197724, 2.8647889757, more...

decimal, non-monotonic, +

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

Sequence f15hu50ojr4un

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, 2.3333333333, 1.6666666667, 2.6666666667, 1, 2.3333333333, 1.3333333333, 1.6666666667, 0.3333333333, 2, 1.6666666667, 3, 1.3333333333, 3.6666666667, 2.3333333333, 3.3333333333, 1, 3.6666666667, 2.6666666667, 4.3333333333, 1.6666666667, 4, 2.3333333333, 3, 0.6666666667, 3, more...

decimal, non-monotonic, +

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

Sequence vm5wez0qawqg

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, 3.5, 2.5, 4, 1.5, 3.5, 2, 2.5, 0.5, 3, 2.5, 4.5, 2, 5.5, 3.5, 5, 1.5, 5.5, 4, 6.5, 2.5, 6, 3.5, 4.5, 1, 4.5, 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 wgtrf1r125asg

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, 21.9911485751, 15.7079632679, 25.1327412287, 9.4247779608, 21.9911485751, 12.5663706144, 15.7079632679, 3.1415926536, 18.8495559215, 15.7079632679, 28.2743338823, 12.5663706144, 34.5575191895, 21.9911485751, 31.4159265359, 9.4247779608, 34.5575191895, 25.1327412287, 40.8407044967, 15.7079632679, 37.6991118431, 21.9911485751, 28.2743338823, 6.2831853072, 28.2743338823, 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 pjc3v4bsz33ef

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, 0.2, 0.125, 0.3333333333, 0.1428571429, 0.25, 0.2, 1, 0.1666666667, 0.2, 0.1111111111, 0.25, 0.0909090909, 0.1428571429, 0.1, 0.3333333333, 0.0909090909, 0.125, 0.0769230769, 0.2, 0.0833333333, 0.1428571429, 0.1111111111, 0.5, 0.1111111111, 0.1428571429, more...

decimal, non-monotonic, +

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

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

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

Sequence e1ok1x1vkaqxd

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, 0.4, 0.25, 0.6666666667, 0.2857142857, 0.5, 0.4, 2, 0.3333333333, 0.4, 0.2222222222, 0.5, 0.1818181818, 0.2857142857, 0.2, 0.6666666667, 0.1818181818, 0.25, 0.1538461538, 0.4, 0.1666666667, 0.2857142857, 0.2222222222, 1, 0.2222222222, 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

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

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 dvfh0rq0bspgl

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, 0.6, 0.375, 1, 0.4285714286, 0.75, 0.6, 3, 0.5, 0.6, 0.3333333333, 0.75, 0.2727272727, 0.4285714286, 0.3, 1, 0.2727272727, 0.375, 0.2307692308, 0.6, 0.25, 0.4285714286, 0.3333333333, 1.5, 0.3333333333, 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 5lsnhgvpxy1mm

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, -3.8584073464, -1.8584073464, -4.8584073464, 0.1415926536, -3.8584073464, -0.8584073464, -1.8584073464, 2.1415926536, -2.8584073464, -1.8584073464, -5.8584073464, -0.8584073464, -7.8584073464, -3.8584073464, -6.8584073464, 0.1415926536, -7.8584073464, -4.8584073464, -9.8584073464, -1.8584073464, -8.8584073464, -3.8584073464, -5.8584073464, 1.1415926536, -5.8584073464, more...

decimal, non-monotonic, +-

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

Sequence g5s0izmo44nij

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, 0.6283185307, 0.3926990817, 1.0471975512, 0.4487989505, 0.7853981634, 0.6283185307, 3.1415926536, 0.5235987756, 0.6283185307, 0.3490658504, 0.7853981634, 0.2855993321, 0.4487989505, 0.3141592654, 1.0471975512, 0.2855993321, 0.3926990817, 0.2416609734, 0.6283185307, 0.2617993878, 0.4487989505, 0.3490658504, 1.5707963268, 0.3490658504, 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 ngryajh5p5uki

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, 10.1415926536, 8.1415926536, 11.1415926536, 6.1415926536, 10.1415926536, 7.1415926536, 8.1415926536, 4.1415926536, 9.1415926536, 8.1415926536, 12.1415926536, 7.1415926536, 14.1415926536, 10.1415926536, 13.1415926536, 6.1415926536, 14.1415926536, 11.1415926536, 16.1415926536, 8.1415926536, 15.1415926536, 10.1415926536, 12.1415926536, 5.1415926536, 12.1415926536, 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 zdflbtsnwvwye

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, 0.8, 0.5, 1.3333333333, 0.5714285714, 1, 0.8, 4, 0.6666666667, 0.8, 0.4444444444, 1, 0.3636363636, 0.5714285714, 0.4, 1.3333333333, 0.3636363636, 0.5, 0.3076923077, 0.8, 0.3333333333, 0.5714285714, 0.4444444444, 2, 0.4444444444, 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 uivnnsout5pyb

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, 1, 0.625, 1.6666666667, 0.7142857143, 1.25, 1, 5, 0.8333333333, 1, 0.5555555556, 1.25, 0.4545454545, 0.7142857143, 0.5, 1.6666666667, 0.4545454545, 0.625, 0.3846153846, 1, 0.4166666667, 0.7142857143, 0.5555555556, 2.5, 0.5555555556, 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 asvhhzn30pw0i

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, 1.2, 0.75, 2, 0.8571428571, 1.5, 1.2, 6, 1, 1.2, 0.6666666667, 1.5, 0.5454545455, 0.8571428571, 0.6, 2, 0.5454545455, 0.75, 0.4615384615, 1.2, 0.5, 0.8571428571, 0.6666666667, 3, 0.6666666667, 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 13fmmmknups5f

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, 1.4, 0.875, 2.3333333333, 1, 1.75, 1.4, 7, 1.1666666667, 1.4, 0.7777777778, 1.75, 0.6363636364, 1, 0.7, 2.3333333333, 0.6363636364, 0.875, 0.5384615385, 1.4, 0.5833333333, 1, 0.7777777778, 3.5, 0.7777777778, 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 huhs5kbxlwzb

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, 1.6, 1, 2.6666666667, 1.1428571429, 2, 1.6, 8, 1.3333333333, 1.6, 0.8888888889, 2, 0.7272727273, 1.1428571429, 0.8, 2.6666666667, 0.7272727273, 1, 0.6153846154, 1.6, 0.6666666667, 1.1428571429, 0.8888888889, 4, 0.8888888889, 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 nfikpu3kw33q

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, 1.8, 1.125, 3, 1.2857142857, 2.25, 1.8, 9, 1.5, 1.8, 1, 2.25, 0.8181818182, 1.2857142857, 0.9, 3, 0.8181818182, 1.125, 0.6923076923, 1.8, 0.75, 1.2857142857, 1, 4.5, 1, 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 lnhoczfdafogc

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, 2, 1.25, 3.3333333333, 1.4285714286, 2.5, 2, 10, 1.6666666667, 2, 1.1111111111, 2.5, 0.9090909091, 1.4285714286, 1, 3.3333333333, 0.9090909091, 1.25, 0.7692307692, 2, 0.8333333333, 1.4285714286, 1.1111111111, 5, 1.1111111111, 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 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 i40r0vx2gyveb

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, 0.1923076923, 0.2962962963, 0.1071428571, 0.2413793103, 0.1333333333, 0.1612903226, 0.03125, 0.1818181818, 0.1470588235, 0.2571428571, 0.1111111111, 0.2972972973, 0.1842105263, 0.2564102564, 0.075, 0.2682926829, 0.1904761905, 0.3023255814, 0.1136363636, 0.2666666667, 0.152173913, 0.1914893617, 0.0416666667, 0.1836734694, 0.14, more...

decimal, non-monotonic, +

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

Sequence pbyalondwwiwh

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, 5.2, 3.375, 9.3333333333, 4.1428571429, 7.5, 6.2, 32, 5.5, 6.8, 3.8888888889, 9, 3.3636363636, 5.4285714286, 3.9, 13.3333333333, 3.7272727273, 5.25, 3.3076923077, 8.8, 3.75, 6.5714285714, 5.2222222222, 24, 5.4444444444, 7.1428571429, 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 wrczr5xnk1ujc

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, 1.6094379124, 2.0794415417, 1.0986122887, 1.9459101491, 1.3862943611, 1.6094379124, 0, 1.7917594692, 1.6094379124, 2.1972245773, 1.3862943611, 2.3978952728, 1.9459101491, 2.302585093, 1.0986122887, 2.3978952728, 2.0794415417, 2.5649493575, 1.6094379124, 2.4849066498, 1.9459101491, 2.1972245773, 0.6931471806, 2.1972245773, 1.9459101491, more...

decimal, non-monotonic, +

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

Sequence 1nl25p34jv4fc

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, 2.6457513111, 2.2360679775, 2.8284271247, 1.7320508076, 2.6457513111, 2, 2.2360679775, 1, 2.4494897428, 2.2360679775, 3, 2, 3.3166247904, 2.6457513111, 3.1622776602, 1.7320508076, 3.3166247904, 2.8284271247, 3.6055512755, 2.2360679775, 3.4641016151, 2.6457513111, 3, 1.4142135624, 3, more...

decimal, non-monotonic, +

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

Sequence bayparlq2mmpp

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, 1096.6331584285, 148.4131591026, 2980.9579870417, 20.0855369232, 1096.6331584285, 54.5981500331, 148.4131591026, 2.7182818285, 403.4287934927, 148.4131591026, 8103.0839275754, 54.5981500331, 59874.1417151978, 1096.6331584285, 22026.4657948067, 20.0855369232, 59874.1417151978, 2980.9579870417, 442413.3920089205, 148.4131591026, 162754.7914190039, 1096.6331584285, 8103.0839275754, 7.3890560989, 8103.0839275754, more...

decimal, non-monotonic, +

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

Sequence s0t120xirhydp

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, -

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

Sequence 0teutrugbpyuj

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
4 operations
Recursive

Sequence pkmwcfxzgjqgc

0, 1, 0, 2, -1, 4, -2, 5, -4, 8, -5, 10, -8, 13, -10, 14, -13, 18, -14, 21, -18, 26, -21, 28, -26, 33, -28, 36, -33, 40, -36, 41, -40, 46, -41, 50, -46, 57, -50, 60, -57, 68, -60, 73, -68, 80, -73, 82, -80, 89, more...

integer, non-monotonic, +-

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

Sequence ucjavfuc1e1z

0, 1, 1, 1, 1, 3, 1, 4, 1, 3, 3, 5, 1, 7, 4, 1, 1, 7, 3, 13, 3, 4, 5, 7, 1, 13, 7, 1, 4, 11, 1, 7, 1, 5, 7, 17, 3, 17, 13, 7, 3, 21, 4, 13, 5, 7, 7, 13, 1, 11, more...

integer, non-monotonic, +

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

[0] [1] [2] [3] [4] ... [337]