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Permutation of natural numbers induced by the Catalan bijection gmA073194 acting on the parenthesizations as ordered by A014486.
7

%I #7 Oct 15 2015 10:57:13

%S 0,1,2,3,4,6,7,5,8,9,11,14,16,19,17,20,10,12,15,21,13,18,22,23,25,28,

%T 30,33,37,39,42,44,47,51,53,56,60,45,48,54,57,61,26,27,24,31,34,38,40,

%U 43,52,58,62,32,35,41,46,29,49,55,63,36,50,59,64,65,67,70,72,75,79,81

%N Permutation of natural numbers induced by the Catalan bijection gmA073194 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 (gmA073194 s) (cond ((pair? s) (gmA072797! s) (gmA073194 (car s)) (gmA072796! s) (gmA073194 (cdr s)))) s)

%Y Inverse permutation: A073195. The car/cdr-flipped conjugate of A073205, i.e. A073194(n) = A057163(A073205(A057163(n))). Cf. also A073196-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