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%I #7 Oct 15 2015 10:57:13
%S 0,1,2,3,4,7,5,6,8,9,16,12,17,20,10,18,11,14,15,13,19,21,22,23,44,31,
%T 42,53,30,43,26,45,49,34,54,57,61,24,47,32,46,55,25,48,28,37,38,29,39,
%U 40,41,27,50,33,51,52,35,56,58,59,36,60,62,63,64,65,126,87,128,156,68
%N Permutation of natural numbers induced by the Catalan bijection gmA073199 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 (gmA073199 s) (cond ((pair? s) (gmA073199 (cdr s)) (gmA072796! s) (gmA073199 (cdr s)) (gmA072797! s))) s)
%Y Inverse permutation: A073198. The car/cdr-flipped conjugate of A073210, i.e. A073199(n) = A057163(A073210(A057163(n))). Cf. also A073194-A073197.
%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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