A089870 Permutation of natural numbers induced by the Catalan bijection gma089870 acting on the parenthesizations/binary trees encoded by A014486/A063171.

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

Offset

0,3

Comments

This Catalan bijection arises when we apply the Catalan bijection A085170 to each top-level subtree (sub-parenthesization).

Links

Table of n, a(n) for n=0..69.

A. Karttunen, C-program for computing this sequence

Index entries for signature-permutations induced by Catalan automorphisms

Prog

(Scheme function implementing this automorphism on list-structures:)
(define (gma089870! s) (for-each gma085170! s) s)

Crossrefs

Inverse of A089869.

Number of cycles: A090827. Number of fixed-points: A000129. Max. cycle size: A086586. LCM of cycle sizes: A086587. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

Sequence in context: A132263 A089868 A089867 * A089869 A358121 A335524

Adjacent sequences: A089867 A089868 A089869 * A089871 A089872 A089873

Keyword

nonn

Author

Antti Karttunen, Dec 20 2003

Status

approved