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Permutation of natural numbers induced by the Catalan bijection gmA073195 acting on the parenthesizations as ordered by A014486.
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%I #7 Oct 15 2015 10:57:13

%S 0,1,2,3,4,7,5,6,8,9,16,10,17,20,11,18,12,14,21,13,15,19,22,23,44,24,

%T 42,43,25,57,26,45,53,27,46,54,61,28,47,29,48,55,30,49,31,37,56,32,38,

%U 58,62,33,50,34,39,59,35,40,51,63,36,41,52,60,64,65,126,66,128,131,67

%N Permutation of natural numbers induced by the Catalan bijection gmA073195 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 (gmA073195 s) (cond ((pair? s) (gmA073195 (cdr s)) (gmA072796! s) (gmA073195 (car s)) (gmA072797! s))) s)

%Y Inverse permutation: A073194. The car/cdr-flipped conjugate of A073206, i.e. A073195(n) = A057163(A073206(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