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%I #7 Mar 31 2012 14:02:19
%S 0,1,2,3,4,5,7,6,8,9,10,12,11,13,17,18,16,14,15,20,21,19,22,23,24,26,
%T 25,27,31,32,30,28,29,34,35,33,36,45,46,49,48,50,44,47,42,37,38,43,40,
%U 39,41,54,55,57,58,59,53,56,51,52,61,62,63,60,64,65,66,68,67,69
%N Permutation of natural numbers: A057163-conjugate of A057512.
%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a>
%F a(n) = A057163(A057512(A057163(n)))
%Y Inverse of A082325. a(n) = A069787(A082325(A069787(n))). a(n) = A082328(A082853(n))+A082852(n). Occurs in A073200 as row 1794. Cf. also A082337-A082338.
%Y Differs from A082341 first time at n=39: a(39)=49, while A082341(39)=48.
%Y Number of cycles: A057513. Number of fixed-points: A057546. Max. cycle size: A000793. 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 17 2003
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