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.

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A125987 Signature-permutation of the square of Vaillé's 1997 bijection on Dyck paths.

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 14, 16, 11, 15, 17, 20, 10, 12, 19, 21, 18, 13, 22, 23, 37, 42, 28, 39, 44, 43, 25, 30, 38, 40, 53, 29, 52, 45, 54, 57, 48, 55, 24, 51, 31, 26, 34, 47, 33, 56, 41, 58, 62, 46, 49, 61, 27, 35, 32, 60, 63, 59, 50, 36, 64, 65, 107, 121, 79, 112
Offset: 0

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Author

Antti Karttunen, Jan 02 2007

Keywords

Crossrefs

Inverse: A125988. a(n) = A125985(A125985(n)). The number of cycles, fixed points, maximum cycle sizes and LCM's of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of this permutation are given by A126294, A126295, A126296 and A126297. The fixed points are given by A126298/A126299.

A126291 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A125985/A125986.

Original entry on oeis.org

1, 1, 1, 2, 2, 5, 8, 11, 16, 23, 22, 32, 44, 54
Offset: 0

Views

Author

Antti Karttunen, Jan 02 2007

Keywords

Comments

The number of orbits (equivalence classes) to which Vaille's automorphism partitions the set of A000108(n) Dyck paths of semilength n. Note the non-monotone drop from a(9) to a(10).

Crossrefs

A126294(2n) = 2*a(2n) for n>0.
Showing 1-2 of 2 results.