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A073210 Permutation of natural numbers induced by the Catalan bijection gmA073210 acting on the parenthesizations as ordered by A014486.

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%I A073210 #7 Oct 15 2015 10:57:13
%S A073210 0,1,2,3,4,6,7,5,8,9,10,14,16,19,17,20,12,11,13,21,18,15,22,23,24,25,
%T A073210 26,27,37,38,42,44,47,51,53,56,60,45,46,54,57,61,31,34,30,28,29,35,33,
%U A073210 32,36,58,62,49,48,59,40,43,39,52,63,55,50,41,64,65,66,67,68,69,70,71
%N A073210 Permutation of natural numbers induced by the Catalan bijection gmA073210 acting on the parenthesizations as ordered by A014486.
%C A073210 Is there an equivalent Catalan bijection in A073200?
%H A073210 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (with the complete Scheme source)
%H A073210 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%o A073210 (Scheme function implementing this automorphism on list-structures:)
%o A073210 (define (gmA073210 s) (cond ((pair? s) (gmA073210 (car s)) (gmA072797! s) (gmA073210 (car s)) (gmA072796! s))) s)
%Y A073210 Inverse permutation: A073209. The car/cdr-flipped conjugate of A073199, i.e. A073210(n) = A057163(A073199(A057163(n))). Cf. also A073205-A073208.
%Y A073210 The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.
%K A073210 nonn
%O A073210 0,3
%A A073210 _Antti Karttunen_, Jun 25 2002