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

%S 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 26,27,37,38,42,44,47,51,53,56,60,45,46,54,57,61,31,34,30,28,29,35,33,

%U 32,36,58,62,49,48,59,40,43,39,52,63,55,50,41,64,65,66,67,68,69,70,71

%N Permutation of natural numbers induced by the Catalan bijection gmA073210 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 (gmA073210 s) (cond ((pair? s) (gmA073210 (car s)) (gmA072797! s) (gmA073210 (car s)) (gmA072796! s))) s)

%Y Inverse permutation: A073209. The car/cdr-flipped conjugate of A073199, i.e. A073210(n) = A057163(A073199(A057163(n))). Cf. also A073205-A073208.

%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