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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A130967 Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutations A130919/A130920.

Original entry on oeis.org

1, 1, 2, 4, 10, 23, 66, 189, 574, 1773, 5640, 18208, 59774, 198654
Offset: 0

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Author

Antti Karttunen, Jun 11 2007

Keywords

Crossrefs

Cf. A130968, A057513.

A130968 Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutations A130919/A130920.

Original entry on oeis.org

1, 1, 2, 3, 7, 10, 25, 54, 131, 331, 864, 2292, 6169, 16835
Offset: 0

Views

Author

Antti Karttunen, Jun 11 2007

Keywords

Crossrefs

Cf. A130967, A057546.

A130919 Signature permutation of a Catalan automorphism: DEEPEN-transform of automorphism *A057511.

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 5, 7, 8, 9, 11, 14, 16, 19, 10, 15, 12, 17, 18, 13, 20, 21, 22, 23, 25, 28, 30, 33, 37, 39, 42, 44, 47, 51, 53, 56, 60, 24, 29, 38, 43, 52, 26, 40, 31, 45, 54, 32, 46, 49, 50, 27, 41, 34, 48, 55, 35, 57, 58, 62, 36, 61, 59, 63, 64, 65, 67, 70, 72, 75, 79, 81
Offset: 0

Views

Author

Antti Karttunen, Jun 11 2007

Keywords

Comments

*A130919 = DEEPEN(*A057511) = NEPEED(*A057511) = DEEPEN(DEEPEN(*A057509)) = NEPEED(NEPEED(*A057509)). See A122283, A122284 for the definitions of DEEPEN and NEPEED transforms.

Links

Crossrefs

Inverse: A130920. A122351(n) = A083927(A130919(A057123(n))). The number of cycles and the number of fixed points in range [A014137(n-1)..A014138(n-1)] of this permutation are given by A130967 and A130968. Maximum cycle sizes seems to be given by A000793 (shifted once right).
Showing 1-3 of 3 results.

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