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%I #7 Oct 15 2015 10:55:25
%S 0,1,3,2,6,7,8,5,4,15,14,16,18,17,19,20,22,11,12,21,13,10,9,39,40,41,
%T 38,37,43,42,47,50,49,44,45,46,48,52,51,53,55,54,60,61,62,29,28,63,30,
%U 32,31,56,57,64,33,34,59,36,25,26,58,35,27,24,23,113,112,114,116,115
%N Permutation of natural numbers induced by the Catalan bijection gma120706 acting on the binary trees encoded by A014486/A063171.
%C See comments at A120705.
%H A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> <I>(With the complete Scheme source)</I>
%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a>
%o (Scheme function implementing this automorphism on list-structures:)
%o (define (gma120706! s) (cond ((pair? s) (gma074679! s) (gma120706! (cdr s)) (cond ((pair? (car s)) (gma120706! (caar s)) (gma120705! (cdar s)))))) s)
%Y Inverse of A120705. Cf. A074679.
%Y Number of cycles: A120707. Number of fixed-points: A019590. Max. cycle size: A120708. LCM of cycle sizes: A120709.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jun 28 2006
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