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.

Showing 1-5 of 5 results.

A082355 Permutation of natural numbers induced by Catalan Automorphism *A082355 acting on the parenthesizations encoded by A014486/A063171.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 8, 6, 7, 9, 10, 13, 11, 12, 19, 20, 21, 14, 15, 22, 18, 16, 17, 23, 24, 27, 25, 26, 33, 34, 35, 28, 29, 36, 32, 30, 31, 51, 52, 55, 53, 54, 56, 57, 58, 37, 38, 59, 41, 39, 40, 60, 61, 64, 47, 48, 62, 49, 42, 43, 63, 50, 46, 44, 45, 65, 66, 69, 67, 68
Offset: 0

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Author

Antti Karttunen, Apr 17 2003

Keywords

Comments

This bijection maps between the "standard" ordering of binary trees as encoded by A014486 and "variant B quaternary encoding" as explained in the sequence A085184.

Links

Crossrefs

Inverse of A082356. a(n) = A082357(A057163(n)). a(n) = A082363(A082853(n))+A082852(n). Cf. also A082351-A082352, A082357-A082358.
Differs from A057118 first time at n=42: a(42)=56, while A057118(42)=58.

A070041 Permutation of natural numbers induced by the automorphism df->bf (from the depth-first to breadth-first encoding) acting on the rooted planar binary trees encoded by A014486. (with one-based indexing).

Original entry on oeis.org

1, 2, 5, 3, 4, 11, 12, 13, 6, 7, 14, 10, 8, 9, 29, 30, 33, 31, 32, 36, 37, 34, 15, 16, 35, 19, 17, 18, 40, 41, 42, 25, 26, 38, 27, 20, 21, 39, 28, 24, 22, 23, 85, 86, 89, 87, 88, 95, 96, 97, 90, 91, 98, 94, 92, 93, 104, 105, 112, 108, 109, 106, 110, 99, 43, 44, 100, 47, 45
Offset: 1

Views

Author

Antti Karttunen, Apr 16 2002

Keywords

Links

Crossrefs

Compare to the plot of A082363 and A072620.
Inverse of A038776. Cf. also A057118.

A082364 Permutation of natural numbers induced by the contraction of Catalan bijection signature-permutation A082356.

Original entry on oeis.org

0, 1, 3, 4, 2, 8, 9, 12, 13, 11, 5, 6, 7, 10, 22, 23, 26, 27, 25, 35, 36, 40, 41, 39, 31, 32, 34, 38, 14, 15, 17, 18, 16, 19, 20, 21, 24, 28, 29, 33, 37, 30, 64, 65, 68, 69, 67, 77, 78, 82, 83, 81, 73, 74, 76, 80, 105, 106, 110, 111, 109, 124, 125, 130, 131, 129, 119, 120, 123
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Compare to the plot of A038776.
Inverse of A082363. Cf. also A082361-A082362.

Formula

a(n) = A082853(A082356(A081291(n))).

A082361 Permutation of natural numbers induced by the contraction of Catalan bijection signature-permutation A082351.

Original entry on oeis.org

0, 1, 4, 2, 3, 10, 11, 12, 5, 6, 13, 7, 8, 9, 28, 29, 30, 31, 32, 33, 34, 35, 14, 15, 36, 16, 17, 18, 37, 38, 39, 19, 20, 40, 21, 22, 23, 41, 24, 25, 26, 27, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 42, 43, 106, 44, 45, 46
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082362. Cf. also A082363-A082364.

Formula

a(n) = A082853(A082351(A081291(n))).

A082362 Permutation of natural numbers induced by the contraction of Catalan bijection signature-permutation A082352.

Original entry on oeis.org

0, 1, 3, 4, 2, 8, 9, 11, 12, 13, 5, 6, 7, 10, 22, 23, 25, 26, 27, 31, 32, 34, 35, 36, 38, 39, 40, 41, 14, 15, 16, 17, 18, 19, 20, 21, 24, 28, 29, 30, 33, 37, 64, 65, 67, 68, 69, 73, 74, 76, 77, 78, 80, 81, 82, 83, 92, 93, 95, 96, 97, 101, 102, 104, 105, 106, 108, 109, 110, 111
Offset: 0

Views

Author

Antti Karttunen, Apr 17 2003

Keywords

Links

Crossrefs

Inverse of A082361. Cf. also A082363-A082364.

Formula

a(n) = A082853(A082352(A081291(n))).
Showing 1-5 of 5 results.

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