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%I #7 Oct 15 2015 10:57:13
%S 0,1,2,3,4,7,5,6,8,9,12,17,16,18,10,21,11,14,15,13,19,20,22,23,26,31,
%T 30,32,45,57,44,42,43,46,47,48,50,24,35,49,56,63,25,58,28,37,38,29,39,
%U 40,41,27,59,33,51,52,34,53,54,55,36,60,61,62,64,65,68,73,72,74,87,99
%N Permutation of natural numbers induced by the Catalan bijection gmA073205 acting on the parenthesizations as ordered by A014486.
%C Is there an equivalent Catalan bijection in A073200?
%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 (gmA073205 s) (cond ((pair? s) (gmA072796! s) (gmA073205 (cdr s)) (gmA072797! s) (gmA073205 (car s)))) s)
%Y Inverse permutation: A073206. The car/cdr-flipped conjugate of A073194, i.e. A073205(n) = A057163(A073194(A057163(n))). Cf. also A073207-A073210.
%Y The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jun 25 2002
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