A074689 Permutation of natural numbers induced by the Catalan bijection gmA074689! acting on the parenthesizations encoded by A014486/A063171.

0, 1, 3, 2, 8, 7, 4, 5, 6, 22, 21, 17, 18, 20, 9, 10, 11, 12, 13, 14, 15, 19, 16, 64, 63, 58, 59, 62, 45, 46, 48, 49, 50, 54, 55, 61, 57, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 51, 52, 60, 56, 42, 43, 44, 47, 53, 196, 195, 189, 190, 194

Offset

0,3

Links

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

A. Karttunen, Gatomorphisms (with the complete Scheme source)

Index entries for sequences that are permutations of the natural numbers

Prog

(Scheme function implementing this automorphism on list-structures:)
(define (gmA074689! s) (cond ((pair? s) (gmrobr! s) (gmA074689! (car s)))) s)

Crossrefs

Inverse of A074690. a(n) = A057163(A074685(A057163(n))). Cf. A074681-A074688. Occurs in A073200.

Sequence in context: A083514 A123696 A123500 * A122331 A074686 A120705

Adjacent sequences: A074686 A074687 A074688 * A074690 A074691 A074692

Keyword

nonn

Author

Antti Karttunen, Sep 11 2002

Status

approved