Sequence Database

A database with 899757 machine generated integer and decimal sequences.

Found 9 matches.

Sequence 5gq42bsiratqm

1, 3, 6, 9, 13, 17, 21, 26, 33, 40, 48, 56, 64, 73, 85, 95, 107, 121, 134, 151, 170, 190, 210, 232, 257, 284, 314, 343, 377, 412, 450, 491, 537, 582, 635, 694, 750, 806, 868, 929, 994, 1063, 1138, 1221, 1309, 1389, 1475, 1576, 1675, 1777, more...

integer, strictly-monotonic, +

a(n)=∑(stern(a(n-1))+a(n-3))
a(0)=1
a(1)=2
a(2)=3
stern(n)=Stern-Brocot sequence
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence ucnphhla2oapb

5, 6, 8, 11, 13, 17, 21, 26, 32, 39, 48, 57, 68, 81, 97, 114, 134, 156, 182, 210, 243, 281, 321, 369, 423, 480, 548, 619, 699, 789, 892, 1003, 1127, 1268, 1409, 1581, 1761, 1966, 2179, 2431, 2705, 2992, 3305, 3665, 4050, 4478, 4924, 5426, more...

integer, strictly-monotonic, +

a(n)=2+Δ(composite(a(n-1)))
a(0)=3
composite(n)=nth composite number
Δ(a)=differences of a
n≥0
5 operations
Prime

Sequence vqbldpmnaxccm

6, 8, 11, 13, 17, 21, 26, 32, 39, 48, 57, 68, 81, 97, 113, 134, 156, 182, 210, 243, 281, 321, 369, 423, 479, 548, 619, 699, 788, 892, 1002, 1127, 1267, 1409, 1581, 1760, 1964, 2178, 2431, 2703, 2991, 3304, 3664, 4047, 4478, 4922, 5423, more...

integer, strictly-monotonic, +

a(n)=2+Δ(composite(a(n-1)))
a(0)=5
composite(n)=nth composite number
Δ(a)=differences of a
n≥0
5 operations
Prime

Sequence 5be2kidvnkhhm

0, 1, 2, 4, 7, 8, 12, 17, 21, 26, 34, 43, 48, 57, 64, 71, 75, 82, 101, 113, 123, 128, 136, 155, 165, 184, 207, 212, 246, 265, 282, 317, 333, 360, 403, 422, 466, 509, 517, 532, 577, 600, 661, 710, 766, 783, 792, 847, 860, 926, more...

integer, strictly-monotonic, +

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

Sequence unwrz4dskryvl

1, 1, 1, 2, 3, 4, 6, 8, 11, 14, 17, 21, 26, 32, 39, 46, 55, 65, 76, 88, 102, 118, 136, 156, 177, 201, 228, 257, 289, 325, 363, 405, 451, 501, 555, 614, 678, 746, 821, 901, 987, 1080, 1180, 1286, 1401, 1524, 1655, 1795, 1945, 2104, more...

integer, monotonic, +

a(n)=floor(sqrt(n^log(n)))
n≥1
6 operations
Power

Sequence f04blrckky2vb

1, 2, 4, 7, 8, 12, 17, 21, 26, 34, 43, 48, 57, 64, 71, 75, 82, 101, 113, 123, 128, 136, 155, 165, 184, 207, 212, 246, 265, 282, 317, 333, 360, 403, 422, 466, 509, 517, 532, 577, 600, 661, 710, 766, 783, 792, 847, 860, 926, 964, more...

integer, strictly-monotonic, +

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

Sequence gwhqj1o5dnled

2, 4, 7, 8, 12, 17, 21, 26, 34, 43, 48, 57, 64, 71, 75, 82, 101, 113, 123, 128, 136, 155, 165, 184, 207, 212, 246, 265, 282, 317, 333, 360, 403, 422, 466, 509, 517, 532, 577, 600, 661, 710, 766, 783, 792, 847, 860, 926, 964, 1011, more...

integer, strictly-monotonic, +

a(n)=stern(1+a(n-1))+a(n-1)
a(0)=2
stern(n)=Stern-Brocot sequence
n≥0
6 operations
Recursive

Sequence u4lheua5hiyyp

0, 2, 3.5, 5.6666666667, 8.5, 12, 16.1666666667, 21, 26.5, 32.6666666667, 39.5, 47, 55.1666666667, 64, 73.5, 83.6666666667, 94.5, 106, 118.1666666667, 131, 144.5, 158.6666666667, 173.5, 189, 205.1666666667, more...

decimal, strictly-monotonic, +

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

Sequence hctvat2ijfcxi

1, 2, 3.5, 5.6666666667, 8.5, 12, 16.1666666667, 21, 26.5, 32.6666666667, 39.5, 47, 55.1666666667, 64, 73.5, 83.6666666667, 94.5, 106, 118.1666666667, 131, 144.5, 158.6666666667, 173.5, 189, 205.1666666667, more...

decimal, strictly-monotonic, +

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