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 1-6 of 6 results.

A090828 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A085163/A085164.

Original entry on oeis.org

1, 1, 2, 3, 7, 14, 37, 95, 285, 876, 2862, 9582, 33022, 115454, 409721, 1467781, 5305211, 19302774, 70662612, 259980148, 960908596
Offset: 0

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Author

Antti Karttunen, Dec 20 2003

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Comments

The number of orbits to which the corresponding automorphism(s) partitions the set of A000108(n) binary trees with n internal nodes.

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A090829 Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A085163/A085164.

Original entry on oeis.org

1, 1, 1, 3, 4, 5, 12, 14, 20, 20, 28, 28, 36, 36, 44, 44, 52, 52, 60, 60, 68
Offset: 0

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Author

Antti Karttunen, Dec 20 2003

Keywords

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Crossrefs

Compare the bisections to A017113, A086570.

A090830 Least common multiple of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of permutation A085163/A085164.

Original entry on oeis.org

1, 1, 1, 3, 12, 60, 120, 840, 1680, 5040, 5040, 55440, 110880, 1441440, 1441440, 1441440, 1441440, 24504480, 24504480, 465585120, 931170240
Offset: 0

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Author

Antti Karttunen, Dec 20 2003

Keywords

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A085163 Permutation of natural numbers induced by the Catalan bijection gma085163 acting on symbolless S-expressions encoded by A014486/A063171.

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 11, 14, 16, 19, 17, 20, 12, 10, 18, 21, 15, 13, 22, 23, 25, 28, 30, 33, 37, 39, 42, 44, 56, 51, 53, 47, 60, 45, 48, 54, 57, 61, 31, 34, 26, 24, 46, 49, 38, 32, 59, 58, 62, 40, 29, 55, 35, 43, 27, 50, 63, 52, 41, 36, 64, 65, 67, 70, 72, 75
Offset: 0

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Author

Antti Karttunen, Jun 23 2003

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Inverse: A085164. a(n) = A085161(A057508(n)). Occurs in A073200. Cf. also A085171, A085172. Scheme-function app-to-xrt given in A085203.
Number of fixed points 1, 1, 2, 2, 3, 4, 7, 11, 21, 36, 71, ... in range [A014137(n-1)..A014138(n-1)] of this permutation appears to be A051920 after the initial two ones.

A085171 Permutation of natural numbers induced by the Catalan bijection gma085171 acting on symbolless S-expressions encoded by A014486/A063171.

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 11, 14, 16, 19, 17, 20, 12, 10, 15, 21, 18, 13, 22, 23, 25, 28, 30, 33, 37, 39, 42, 44, 53, 51, 56, 47, 60, 45, 48, 54, 57, 61, 31, 34, 26, 24, 29, 40, 38, 43, 52, 58, 62, 49, 46, 55, 35, 32, 27, 41, 63, 59, 50, 36, 64, 65, 67, 70, 72, 75
Offset: 0

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Author

Antti Karttunen, Jun 23 2003

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Crossrefs

Inverse: A085172. Cf. also A085163, A085164, A085203.

A085172 Inverse permutation to A085171.

Original entry on oeis.org

0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 17, 10, 16, 21, 11, 18, 12, 14, 20, 13, 15, 19, 22, 23, 45, 24, 44, 58, 25, 46, 26, 42, 57, 27, 43, 56, 63, 28, 48, 29, 47, 59, 30, 49, 31, 37, 54, 35, 38, 53, 62, 33, 50, 32, 39, 55, 34, 40, 51, 61, 36, 41, 52, 60, 64, 65, 129, 66, 128, 170
Offset: 0

Views

Author

Antti Karttunen, Jun 23 2003

Keywords

Links

Crossrefs

Inverse: A085171. Cf. also A085163, A085164, A085203.
Showing 1-6 of 6 results.

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