A074688 - OEIS

A074688

Permutation of natural numbers induced by the Catalan bijection gmA074688! acting on the parenthesizations encoded by A014486/A063171.

0, 1, 3, 2, 7, 8, 4, 5, 6, 18, 20, 21, 22, 17, 10, 9, 11, 12, 13, 14, 15, 19, 16, 50, 55, 61, 57, 49, 62, 59, 63, 64, 58, 46, 45, 54, 48, 26, 27, 23, 24, 25, 29, 28, 30, 31, 32, 33, 34, 35, 36, 38, 37, 39, 40, 41, 51, 52, 56, 60, 42, 43, 44, 47, 53, 148, 162, 167, 181, 147

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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 (gmA074688! s) (cond ((pair? s) (gmA074688! (cdr s)) (gmrobr! s) (gmA074688! (car s)))) s)

CROSSREFS

Inverse of A074687 and also a(n) = A057163(A074687(A057163(n))). Cf. A074681-A074690. Occurs in A073200.