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%I #6 Oct 15 2015 10:55:23
%S 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,
%T 38,37,43,42,44,45,46,47,48,49,50,52,51,53,54,55,56,57,58,29,28,59,30,
%U 31,32,60,61,62,33,34,63,35,25,26,64,36,27,24,23,113,112,114,115,116
%N Permutation of natural numbers induced by the Catalan bijection gmA074685! acting on the parenthesizations encoded by A014486/A063171.
%H A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (with the complete Scheme source)
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%o (Scheme function implementing this automorphism on list-structures:)
%o (define (gmA074685! s) (cond ((pair? s) (gmrobl! s) (gmA074685! (cdr s)))) s)
%Y Inverse of A074686. a(n) = A057163(A074689(A057163(n))). Occurs in A073200 as row 5572436.
%K nonn
%O 0,3
%A _Antti Karttunen_, Sep 11 2002
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