Sequence Database

A database with 1693109 machine generated integer and decimal sequences.

Displaying result 0-99 of total 57811. [0] [1] [2] [3] [4] ... [578]

Sequence f0hiz4pasazlk

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

Sequence qobrounzmgbon

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)=a(n-1)-Δ[stern(n)]
a(0)=0
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence e0rr43g25ag2d

-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 y3lac0gfkcymm

-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 wtd0wd5njtkic

-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 pzm3r50ua1xpb

-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 ppkyrrdfvdl1o

-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 xkssdfwmxzwpj

-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 hhrvmaukusbco

-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 mko4zuo1yk4ok

-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 hpe5vkltkrp3p

-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 zfatb03y2v13l

-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 hciff5udaxdil

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 urshn5msq4lbl

0, 0.1111111111111111, 0.1111111111111111, 0.2222222222222222, 0.1111111111111111, 0.3333333333333333, 0.2222222222222222, 0.3333333333333333, 0.1111111111111111, 0.4444444444444444, 0.3333333333333333, 0.5555555555555556, 0.2222222222222222, 0.5555555555555556, 0.3333333333333333, 0.4444444444444444, 0.1111111111111111, 0.5555555555555556, 0.4444444444444444, 0.7777777777777778, 0.3333333333333333, 0.8888888888888888, 0.5555555555555556, 0.7777777777777778, 0.2222222222222222, more...

decimal, non-monotonic, +

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

Sequence 1by5nmgxquwyg

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 u2j4ewadidkom

0, 0.14285714285714285, 0.14285714285714285, 0.2857142857142857, 0.14285714285714285, 0.42857142857142855, 0.2857142857142857, 0.42857142857142855, 0.14285714285714285, 0.5714285714285714, 0.42857142857142855, 0.7142857142857143, 0.2857142857142857, 0.7142857142857143, 0.42857142857142855, 0.5714285714285714, 0.14285714285714285, 0.7142857142857143, 0.5714285714285714, 1, 0.42857142857142855, 1.1428571428571428, 0.7142857142857143, 1, 0.2857142857142857, more...

decimal, non-monotonic, +

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

Sequence ppqtlptv3i4bf

0, 0.16666666666666666, 0.16666666666666666, 0.3333333333333333, 0.16666666666666666, 0.5, 0.3333333333333333, 0.5, 0.16666666666666666, 0.6666666666666666, 0.5, 0.8333333333333334, 0.3333333333333333, 0.8333333333333334, 0.5, 0.6666666666666666, 0.16666666666666666, 0.8333333333333334, 0.6666666666666666, 1.1666666666666667, 0.5, 1.3333333333333333, 0.8333333333333334, 1.1666666666666667, 0.3333333333333333, more...

decimal, non-monotonic, +

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

Sequence 3zlgplgkw5d2

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 kxq55ahkyvkeh

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 jben2luzjvize

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

decimal, non-monotonic, +

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

Sequence r1lc43cty2a3l

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

Sequence lofdylpueylom

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 uw1fhk3vty4bb

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

Sequence ia3tmrkuadrdg

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 bwt2qntjpoksk

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 rmhzx3lrkq13c

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 f5tpsa011evkh

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 zi5s40tdfd5xe

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 qwnzv5b3sc2i

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 mw32qquejbbwo

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 3aaxyqznlu5gk

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 etxkgacpdiinj

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 3kogrpzklex4o

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 e5cq3pm2mu5yd

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 ng54crqt5ypvp

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
a(n)=a(n-1)-Δ[stern(n)]
a(0)=1
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence atobddcj2avme

1, 1, 0.5, 1, 0.3333333333333333, 0.5, 0.3333333333333333, 1, 0.25, 0.3333333333333333, 0.2, 0.5, 0.2, 0.3333333333333333, 0.25, 1, 0.2, 0.25, 0.14285714285714285, 0.3333333333333333, 0.125, 0.2, 0.14285714285714285, 0.5, 0.14285714285714285, more...

decimal, non-monotonic, +

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

Sequence fzuwvuzku4qcj

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)=Δ[stern(n)+a(n-1)]
a(0)=1
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive
a(n)=exp(abs(log(stern(n))))
stern(n)=Stern-Brocot sequence
n≥1
5 operations
Recursive

Sequence asfzygnshxg4b

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 ynbls5n1ma0jp

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)=Δ[stern(n)]+a(n-1)
a(0)=1
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 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 km3kwvmlypfbi

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 m2pjxzl2uhlvl

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 wb3l5ywsc4mof

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
a(n)=a(n-1)-Δ[stern(n)]
a(0)=2
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence drvodurv53swo

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 l4xsifj2qyiyk

2, 2, 1, 2, 0.6666666666666666, 1, 0.6666666666666666, 2, 0.5, 0.6666666666666666, 0.4, 1, 0.4, 0.6666666666666666, 0.5, 2, 0.4, 0.5, 0.2857142857142857, 0.6666666666666666, 0.25, 0.4, 0.2857142857142857, 1, 0.2857142857142857, more...

decimal, non-monotonic, +

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

Sequence k05czqtfvuxrm

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 ykij3vevbq4gj

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
a(n)=Δ[stern(n)]+a(n-1)
a(0)=2
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence 1q4wgbufloq2l

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 ry2ybzut4lxcc

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
a(n)=a(n-1)-Δ[stern(n)]
a(0)=3
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence xqvwfz5pyr3pf

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 50ytankcy2n4n

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, 0.42857142857142855, 1, 0.375, 0.6, 0.42857142857142855, 1.5, 0.42857142857142855, more...

decimal, non-monotonic, +

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

Sequence uayrkxihrwz0k

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
a(n)=Δ[stern(n)]+a(n-1)
a(0)=3
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence icukzewuxzpui

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 zj1nqrftv3pkc

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
a(n)=a(n-1)-Δ[stern(n)]
a(0)=4
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence wso12jc11zloc

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 gyq5bcpzzk0bh

4, 4, 2, 4, 1.3333333333333333, 2, 1.3333333333333333, 4, 1, 1.3333333333333333, 0.8, 2, 0.8, 1.3333333333333333, 1, 4, 0.8, 1, 0.5714285714285714, 1.3333333333333333, 0.5, 0.8, 0.5714285714285714, 2, 0.5714285714285714, more...

decimal, non-monotonic, +

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

Sequence ajamo3lu10pxh

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
a(n)=Δ[stern(n)]+a(n-1)
a(0)=4
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence scvcggrvk3nug

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
a(n)=a(n-1)-Δ[stern(n)]
a(0)=5
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence agxvmbgzge10j

5, 5, 2.5, 5, 1.6666666666666667, 2.5, 1.6666666666666667, 5, 1.25, 1.6666666666666667, 1, 2.5, 1, 1.6666666666666667, 1.25, 5, 1, 1.25, 0.7142857142857143, 1.6666666666666667, 0.625, 1, 0.7142857142857143, 2.5, 0.7142857142857143, more...

decimal, non-monotonic, +

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

Sequence nbdwuuk5yajsd

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
a(n)=Δ[stern(n)]+a(n-1)
a(0)=5
stern(n)=Stern-Brocot sequence
Δ(a)=differences of a
n≥0
5 operations
Recursive

Sequence ifq2zzjavk0m

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 qhipal4mnuy0p

6, 6, 3, 6, 2, 3, 2, 6, 1.5, 2, 1.2, 3, 1.2, 2, 1.5, 6, 1.2, 1.5, 0.8571428571428571, 2, 0.75, 1.2, 0.8571428571428571, 3, 0.8571428571428571, more...

decimal, non-monotonic, +

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

Sequence unachmqedggwl

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 pibf5fpus2sdk

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 nmao2ibs4edhe

7, 7, 3.5, 7, 2.3333333333333335, 3.5, 2.3333333333333335, 7, 1.75, 2.3333333333333335, 1.4, 3.5, 1.4, 2.3333333333333335, 1.75, 7, 1.4, 1.75, 1, 2.3333333333333335, 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 gy2grpfpqjawf

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 4gytuydf1jhsb

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 t2o4qoc3fevbf

8, 8, 4, 8, 2.6666666666666665, 4, 2.6666666666666665, 8, 2, 2.6666666666666665, 1.6, 4, 1.6, 2.6666666666666665, 2, 8, 1.6, 2, 1.1428571428571428, 2.6666666666666665, 1, 1.6, 1.1428571428571428, 4, 1.1428571428571428, more...

decimal, non-monotonic, +

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

Sequence joweoqnyoeuho

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 yzlbkztuqmyci

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 ajubn34m2r3v

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, 1.2857142857142858, 3, 1.125, 1.8, 1.2857142857142858, 4.5, 1.2857142857142858, more...

decimal, non-monotonic, +

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

Sequence 5zim2hrkbdrro

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 jg4vkk2s2mw3h

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 x54vjic3mqnvd

10, 10, 5, 10, 3.3333333333333335, 5, 3.3333333333333335, 10, 2.5, 3.3333333333333335, 2, 5, 2, 3.3333333333333335, 2.5, 10, 2, 2.5, 1.4285714285714286, 3.3333333333333335, 1.25, 2, 1.4285714285714286, 5, 1.4285714285714286, more...

decimal, non-monotonic, +

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

Sequence lpzpa4domjoxc

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 xs4j134wwce5h

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 3csss2c2d40je

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, more...

integer, non-monotonic, +

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

Sequence 0h1mraepdlnzb

0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, more...

integer, non-monotonic, +

a(n)=and(4, stern(n))
stern(n)=Stern-Brocot sequence
and(a,b)=bitwise and
n≥0
4 operations
Recursive

Sequence uqyalaemierzp

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

integer, non-monotonic, +

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

Sequence rllz1oyzkp5qk

0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 8, 0, 2, 2, 2, 0, 8, 2, 2, 0, 0, 0, 2, 0, 8, 0, 10, 2, 10, 2, 10, 8, 8, 0, 8, 2, 8, 2, 8, more...

integer, non-monotonic, +

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

Sequence fp0h3uo43ykef

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

integer, non-monotonic, +

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

Sequence q0usq3kw35w1f

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 4v3ikikg55qmh

0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 8, 1, 1, 0, 1, 1, 8, 1, 1, 0, 1, 1, 0, 1, 9, 0, 9, 1, 8, 1, 9, 8, 9, 1, 8, 1, 9, 0, 9, more...

integer, non-monotonic, +

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

Sequence ckba3ww2vofwn

0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 5, 0, 5, 1, 4, 1, 5, 4, 5, 1, 0, 5, 5, 0, 5, 5, 0, 1, 5, 4, 5, 1, 4, 5, 1, 4, 1, 5, 0, 1, 1, 0, 5, 5, 4, 5, 1, 0, 1, more...

integer, non-monotonic, +

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

Sequence gcwspxo1fxmgp

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

integer, non-monotonic, +

a(n)=and(3, stern(n))
stern(n)=Stern-Brocot sequence
and(a,b)=bitwise and
n≥0
4 operations
Recursive
a(n)=stern(n)%4
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence jl24yyyto2rpm

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

integer, non-monotonic, +

a(n)=and(7, stern(n))
stern(n)=Stern-Brocot sequence
and(a,b)=bitwise and
n≥0
4 operations
Recursive
a(n)=stern(n)%8
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 1mvpnkcqkiavp

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 r1vsfyesbhcbf

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 c0sqz1swzjsyi

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

integer, non-monotonic, +

a(n)=xor(1, stern(n))
stern(n)=Stern-Brocot sequence
xor(a,b)=bitwise exclusive or
n≥0
4 operations
Recursive

Sequence yjotxn41q5bif

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

integer, non-monotonic, +

a(n)=stern(xor(1, n))
xor(a,b)=bitwise exclusive or
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence geah0gob5ycbe

1, 0.5, 0.6666666666666666, 0.25, 0.6, 0.3333333333333333, 0.42857142857142855, 0.125, 0.4444444444444444, 0.3, 0.45454545454545453, 0.16666666666666666, 0.38461538461538464, 0.21428571428571427, 0.26666666666666666, 0.0625, 0.29411764705882354, 0.2222222222222222, 0.3684210526315789, 0.15, 0.38095238095238093, 0.22727272727272727, 0.30434782608695654, 0.08333333333333333, 0.28, more...

decimal, non-monotonic, +

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

Sequence aaao3jsqhqlbh

1, 1, 1, 3, 1, 3, 3, 3, 1, 5, 3, 5, 3, 5, 3, 5, 1, 5, 5, 7, 3, 9, 5, 7, 3, 7, 5, 9, 3, 7, 5, 5, 1, 7, 5, 9, 5, 11, 7, 11, 3, 11, 9, 13, 5, 13, 7, 9, 3, 9, more...

integer, non-monotonic, +

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

Sequence j3cb1wgf22vmm

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

integer, non-monotonic, +, A114214

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

Sequence knmw5a222aesc

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

integer, non-monotonic, +

a(n)=stern(xor(2, n))
xor(a,b)=bitwise exclusive or
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 4gtcypex34ntl

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

integer, non-monotonic, +

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

Sequence ixjxibooa4zyh

1, 2, 1.5, 4, 1.6666666666666667, 3, 2.3333333333333335, 8, 2.25, 3.3333333333333335, 2.2, 6, 2.6, 4.666666666666667, 3.75, 16, 3.4, 4.5, 2.7142857142857144, 6.666666666666667, 2.625, 4.4, 3.2857142857142856, 12, 3.5714285714285716, more...

decimal, non-monotonic, +

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

Sequence pqk4di0tmdezg

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

integer, non-monotonic, +

a(n)=stern(xor(4, n))
xor(a,b)=bitwise exclusive or
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence tivmynkaeqk0o

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

integer, non-monotonic, +

a(n)=stern(or(4, n))
or(a,b)=bitwise or
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence fqzxpwwnrbggh

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

integer, non-monotonic, +

a(n)=stern(xor(8, n))
xor(a,b)=bitwise exclusive or
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

Sequence 1quaggojcs0q

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

integer, non-monotonic, +

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

Sequence xegpb5ykxdo2

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

integer, non-monotonic, +

a(n)=stern(xor(3, n))
xor(a,b)=bitwise exclusive or
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Recursive

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