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%I #6 Oct 15 2015 10:55:23
%S 0,1,3,2,8,7,4,5,6,22,21,17,18,20,10,9,11,12,13,14,15,16,19,64,63,58,
%T 59,62,46,45,48,49,50,54,55,57,61,27,26,23,24,25,29,28,30,31,32,33,34,
%U 35,36,38,37,39,40,41,42,43,44,47,51,52,53,56,60,196,195,189,190,194
%N Permutation of natural numbers induced by the Catalan bijection gmA074686! 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 (gmA074686! s) (cond ((pair? s) (gmA074686! (cdr s)) (gmrobr! s))) s)
%Y Inverse of A074685. a(n) = A057163(A074690(A057163(n))). Occurs in A073200.
%K nonn
%O 0,3
%A _Antti Karttunen_, Sep 11 2002
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