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%I #7 Oct 15 2015 10:57:13
%S 0,1,2,3,4,6,7,5,8,9,16,10,14,19,17,18,12,11,15,20,13,21,22,23,26,42,
%T 44,53,25,38,37,24,47,27,51,56,60,45,48,49,46,50,31,32,30,28,39,40,43,
%U 29,52,54,55,34,33,41,57,35,58,59,61,36,62,63,64,65,126,73,72,76,121
%N Permutation of natural numbers induced by the Catalan bijection gmA073208 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 (gmA073208 s) (cond ((pair? s) (gmA073208 (cdr s)) (gmA072797! s) (gmA073208 (cdr s)) (gmA072796! s))) s)
%Y Inverse permutation: A073207. The car/cdr-flipped conjugate of A073197, i.e. A073208(n) = A057163(A073197(A057163(n))). Cf. also A073205-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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