Permutation of natural numbers induced by the gatomorphism Catalan bijection gmA074685! acting on the parenthesizations encoded by A014486/A063171.

_Antti Karttunen _, Sep 11 2002

<a href="/Sindx_index/Per.html#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

<a href="/Sindx_Per.html#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

nonn,new

nonn

A. Karttunen, <A HREFa href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</Aa> (with the complete Scheme source)

<a href="http://www.research.att.com/~njas/sequences/Sindx_Per.html#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

nonn,new

nonn

Permutation of natural numbers induced by the gatomorphism gmA074685! acting on the parenthesizations encoded by A014486/A063171.

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

0,3

A. Karttunen, <A HREF="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</A> (with the complete Scheme source)

<a href="http://www.research.att.com/~njas/sequences/Sindx_Per.html#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

(Scheme function implementing this automorphism on list-structures:)

(define (gmA074685! s) (cond ((pair? s) (gmrobl! s) (gmA074685! (cdr s)))) s)

Inverse of A074686. a(n) = A057163(A074689(A057163(n))). Occurs in A073200 as row 5572436.

nonn

Antti Karttunen Sep 11 2002

approved