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%I #7 Oct 15 2015 10:57:13
%S 0,1,2,3,4,7,5,6,8,9,10,17,16,20,11,18,12,14,19,13,21,15,22,23,24,25,
%T 26,27,45,46,44,42,57,54,43,53,61,28,29,48,47,55,30,49,31,37,38,35,51,
%U 40,63,33,50,32,58,60,34,56,39,41,36,62,52,59,64,65,66,67,68,69,70,71
%N Permutation of natural numbers induced by the Catalan bijection gmA073197 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 (gmA073197 s) (cond ((pair? s) (gmA073197 (car s)) (gmA072796! s) (gmA073197 (car s)) (gmA072797! s))) s)
%Y Inverse permutation: A073196. The car/cdr-flipped conjugate of A073208, i.e. A073197(n) = A057163(A073208(A057163(n))). Cf. also A073194-A073199.
%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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