cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Previous Showing 11-16 of 16 results.

A244153 Permutation of natural numbers, the odd bisection of A156552 halved; equally, a composition of A064216 and A156552: a(n) = A156552(A064216(n)).

Original entry on oeis.org

0, 1, 2, 4, 3, 8, 16, 5, 32, 64, 9, 128, 6, 7, 256, 512, 17, 10, 1024, 33, 2048, 4096, 11, 8192, 12, 65, 16384, 18, 129, 32768, 65536, 19, 34, 131072, 257, 262144, 524288, 13, 20, 1048576, 15, 2097152, 66, 513, 4194304, 36, 1025, 130, 8388608, 35, 16777216, 33554432, 21, 67108864, 134217728, 2049, 268435456, 258, 67, 68, 24, 4097, 14
Offset: 1

Views

Author

Antti Karttunen, Jun 27 2014

Keywords

Comments

Note the indexing: the domain starts from 1, while the range includes also zero.

Links

Crossrefs

Inverse: A244154.
Cf. A054429, A064216, A156552, A243065-A243066, A243505-A243506, A245607, A245609, A245611.

Programs

Formula

a(n) = A156552(2n+1) / 2.
As a composition of related permutations:
a(n) = A156552(A064216(n)).
a(n) = A054429(A245611(n)).

A243506 Permutation of natural numbers: a(n) = A048673(A122111(n)).

Original entry on oeis.org

1, 2, 5, 3, 14, 8, 41, 4, 13, 23, 122, 11, 365, 68, 38, 6, 1094, 18, 3281, 32, 113, 203, 9842, 17, 63, 608, 25, 95, 29525, 53, 88574, 7, 338, 1823, 188, 28, 265721, 5468, 1013, 50, 797162, 158, 2391485, 284, 74, 16403, 7174454, 20, 313, 88, 3038, 851, 21523361, 39, 563, 149, 9113, 49208, 64570082, 83, 193710245, 147623, 221, 9
Offset: 1

Views

Author

Antti Karttunen, Jun 25 2014

Keywords

Links

Crossrefs

Inverse: A243505.
Cf. A000040, A000079, A006254, A007051.
Related or similar permutations: A048673, A122111, A243065-A243066, A244981-A244982, A244983-A244984, A244153-A244154.

Programs

Formula

a(n) = A048673(A122111(n)).
a(n) = A243066(A241916(n)).
For all n >= 1, a(A000040(n)) = A007051(n) and a(A000079(n)) = A006254(n).

A244982 Permutation of natural numbers: a(n) = A243285(A122111(2*n)).

Original entry on oeis.org

1, 2, 4, 3, 8, 6, 18, 5, 11, 14, 38, 10, 79, 30, 22, 7, 164, 15, 337, 20, 47, 64, 694, 16, 35, 134, 26, 43, 1419, 32, 2888, 9, 100, 279, 73, 24, 5850, 575, 208, 34, 11822, 67, 23836, 92, 56, 1177, 47975, 19, 112, 50, 428, 193, 96431, 42, 152, 71, 877, 2395, 193614, 52
Offset: 1

Views

Author

Antti Karttunen, Jul 20 2014

Keywords

Links

Crossrefs

Inverse: A244981.
Cf. A122111, A243285, A244983-A244984, A243505-A243506, A243065-A243066.

Programs

Formula

a(n) = A243285(A122111(2*n)).

A244984 Permutation of natural numbers: a(n) = A243283(A122111((2*n)-1)).

Original entry on oeis.org

1, 2, 3, 5, 4, 9, 14, 6, 23, 37, 10, 58, 8, 7, 90, 143, 15, 13, 225, 24, 355, 563, 12, 894, 17, 38, 1426, 20, 60, 2277, 3643, 19, 31, 5839, 96, 9398, 15155, 16, 27, 24518, 11, 39758, 50, 153, 64607, 42, 242, 80, 105250, 30, 171874, 281237, 26
Offset: 1

Views

Author

Antti Karttunen, Jul 21 2014

Keywords

Links

Crossrefs

Inverse: A244983.
Cf. A122111, A243283, A244981-A244982, A243505-A243506, A243065-A243066, A006254, A244986.

Programs

Formula

a(n) = A243283(A122111((2*n)-1)).
a(n) = A243283(A105560((2*n)-1) * A243505(n)).
For all n >= 1, a(A006254(n)) = A244986(n+1).

A244981 Permutation of natural numbers: a(n) = A122111(A102750(n)) / 2.

Original entry on oeis.org

1, 2, 4, 3, 8, 6, 16, 5, 32, 12, 9, 64, 128, 10, 18, 24, 256, 7, 48, 20, 512, 15, 1024, 36, 96, 27, 2048, 192, 72, 14, 4096, 30, 8192, 40, 25, 384, 16384, 11, 144, 80, 32768, 54, 28, 288, 768, 65536, 21, 131072, 1536, 50, 108, 60, 262144, 160, 576, 45, 524288, 1048576, 3072, 320, 81, 120, 2097152, 22, 6144, 4194304, 42
Offset: 1

Views

Author

Antti Karttunen, Jul 20 2014

Keywords

Links

Crossrefs

Inverse: A244982.
Cf. A122111, A102750, A244983-A244984, A243505-A243506, A243065-A243066.

Programs

Formula

a(n) = A122111(A102750(n)) / 2.

A244983 Permutation of natural numbers: a(1) = 1, a(n) = (1 + A122111(A070003(n-1))) / 2.

Original entry on oeis.org

1, 2, 3, 5, 4, 8, 14, 13, 6, 11, 41, 23, 18, 7, 17, 38, 25, 68, 32, 28, 122, 63, 9, 20, 113, 53, 39, 365, 95, 50, 33, 74, 203, 61, 188, 88, 10, 26, 1094, 158, 83, 46, 608, 313, 3281, 338, 123, 149, 59, 43, 221, 116, 284, 72, 263, 138, 1013, 12, 9842, 29, 1823, 248, 98, 563, 172, 60
Offset: 1

Views

Author

Antti Karttunen, Jul 21 2014

Keywords

Links

Crossrefs

Inverse: A244984.
Cf. A070003, A006254, A244986.
Related or similar permutations: A122111, A244981-A244982, A243505-A243506, A243065-A243066.

Programs

Formula

a(1) = 1, a(n) = (1 + A122111(A070003(n-1))) / 2.
For all n >= 1, a(A244986(n+1)) = A006254(n).
Previous Showing 11-16 of 16 results.

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