A074687 Permutation of natural numbers induced by the Catalan bijection gmA074687! acting on the parenthesizations encoded by A014486/A063171.

0, 1, 3, 2, 6, 7, 8, 4, 5, 15, 14, 16, 17, 18, 19, 20, 22, 13, 9, 21, 10, 11, 12, 39, 40, 41, 37, 38, 43, 42, 44, 45, 46, 47, 48, 49, 50, 52, 51, 53, 54, 55, 60, 61, 62, 34, 33, 63, 36, 27, 23, 56, 57, 64, 35, 24, 58, 26, 32, 29, 59, 25, 28, 30, 31, 113, 112, 114, 115, 116

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 (gmA074687! s) (cond ((pair? s) (gmA074687! (car s)) (gmrobl! s) (gmA074687! (cdr s)))) s)

Crossrefs

Inverse of A074688 and also a(n) = A057163(A074688(A057163(n))). Cf. A074681-A074690. Occurs in A073200 as row 5572440.

Sequence in context: A123495 A130369 A072091 * A130366 A130934 A130965

Adjacent sequences: A074684 A074685 A074686 * A074688 A074689 A074690

Keyword

nonn

Author

Antti Karttunen, Sep 11 2002

Status

approved