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Permutation of natural numbers induced by the Catalan bijection gma073284! acting on the parenthesizations encoded by A014486.
4

%I #6 Oct 15 2015 10:55:23

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

%T 30,33,37,39,42,44,47,51,53,56,60,24,29,38,43,52,26,40,31,45,48,32,54,

%U 57,61,27,41,34,46,55,35,49,58,62,36,50,59,63,64,65,67,70,72,75,79,81

%N Permutation of natural numbers induced by the Catalan bijection gma073284! acting on the parenthesizations encoded by A014486.

%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 (gmA073284! s) (cond ((pair? s) (gmA073284! (car s)) (gmA072796! s) (gmA073284! (cdr s)))) s)

%Y Inverse permutation: A073285. Occurs for first time in A073200 as row 20.

%Y The scheme function gma072796! referred to below given in A072796.

%K nonn

%O 0,3

%A _Antti Karttunen_, Jun 25 2002