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%I #7 Oct 15 2015 10:57:13
%S 0,1,2,3,4,7,5,6,8,9,11,17,16,20,12,18,10,14,15,13,19,21,22,23,31,28,
%T 24,33,45,49,44,42,43,54,53,57,61,30,29,46,47,55,25,48,26,37,40,32,38,
%U 39,41,34,50,27,51,52,35,56,58,59,36,60,62,63,64,65,84,87,73,96,79,81
%N Permutation of natural numbers induced by the Catalan bijection gmA073207 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 (gmA073207 s) (cond ((pair? s) (gmA072796! s) (gmA073207 (cdr s)) (gmA072797! s) (gmA073207 (cdr s)))) s)
%Y Inverse permutation: A073208. The car/cdr-flipped conjugate of A073196, i.e. A073207(n) = A057163(A073196(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