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%I #7 May 01 2014 02:46:54
%S 0,1,2,3,4,5,7,6,8,9,10,11,12,13,17,18,16,14,15,21,19,20,22,23,24,25,
%T 26,27,28,29,30,31,32,33,34,35,36,45,46,48,49,50,44,47,42,37,38,43,39,
%U 40,41,58,59,56,51,52,57,53,54,55,63,60,61,62,64,65,66,67,68,69,70,71
%N Permutation of natural numbers induced by the automorphism gma069775! acting on the parenthesizations encoded by A014486.
%H A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (Includes the complete Scheme program for computing this sequence)
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%o (Scheme functions implementing this automorphism on list-structures:)
%o (define (gma069775! s) (cond ((pair? s) (gma072797! s) (gma069775! (car s)))) s)
%Y Inverse of A069776. a(n) = A057163(A057509(A057163(n))) = A069773(A069770(n)). Cf. also A069787, A072797.
%Y Number of cycles: A003239. Number of fixed points: A034731. Max. cycle size: A028310. LCM of cycle sizes: A003418. (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 16 2002
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