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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A082342 Permutation of natural numbers induced by the Catalan bijection gma082342 acting on the parenthesizations encoded by A014486/A063171.

Original entry on oeis.org

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

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Author

Antti Karttunen, Apr 17 2003

Keywords

Comments

This is A057163-conjugate of A073284.

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Crossrefs

Inverse of A082341. a(n) = A057163(A073284(A057163(n))). Occurs in A073200. Cf. also A072797, A082337-A082339.
Differs from A082325 first time at n=39: a(39)=48, while A082325(39)=49.
Number of cycles: A057513. Number of fixed-points: A057546. Max. cycle size: A000793. LCM of cycle sizes: A003418. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

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

Views

Author

Antti Karttunen, Jun 11 2007

Keywords

Crossrefs

Cf. A130968, A057513.
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