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Permutation of natural numbers induced by the Catalan bijection gma082345 acting on the parenthesizations encoded by A014486/A063171.
8

%I #6 Oct 15 2015 10:55:24

%S 0,1,3,2,7,8,6,4,5,17,18,20,21,22,16,19,14,9,10,15,11,13,12,45,46,48,

%T 49,50,54,55,57,58,59,61,62,63,64,44,47,53,56,60,42,51,37,23,24,38,25,

%U 27,26,43,52,39,28,29,41,33,35,36,40,30,34,32,31,129,130,132,133,134

%N Permutation of natural numbers induced by the Catalan bijection gma082345 acting on the parenthesizations encoded by A014486/A063171.

%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#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a>

%o (Scheme functions implementing this automorphism on list-structures:)

%o (define (gma082345! s) (cond ((pair? s) (gma069767! s) (gma082345! (cdr s)))) s)

%Y Inverse of A082346. Occurs in A073200 as row 66. Cf. also A069767, A073288-A073289, A082347-A082348.

%K nonn

%O 0,3

%A _Antti Karttunen_, Apr 17 2003