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A082339 Permutation of natural numbers induced by the Catalan bijection gma082339 acting on the parenthesizations encoded by A014486/A063171. 9

%I #7 Oct 15 2015 10:55:24

%S 0,1,2,3,4,5,7,6,8,9,10,12,11,13,17,18,16,14,15,20,19,21,22,23,24,26,

%T 25,27,31,32,30,28,29,34,33,35,36,45,46,48,49,50,44,47,42,37,38,43,40,

%U 39,41,54,55,53,51,52,57,56,58,59,61,60,62,63,64,65,66,68,67,69

%N Permutation of natural numbers induced by the Catalan bijection gma082339 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 (gma082339! s) (cond ((pair? s) (gma072797! s) (gma082339! (cdr s)))) s)

%Y Inverse of A082340. Occurs in A073200 as row 1796. Cf. also A072797, A082337-A082341.

%Y Max. cycle size and LCMs of cycle sizes: A016116 (to be checked). (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

%K nonn

%O 0,3

%A _Antti Karttunen_, Apr 17 2003

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)