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Involution of natural numbers: A057502-conjugate of A057164.
2

%I #7 Mar 31 2012 14:02:18

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

%T 30,33,24,29,26,31,34,27,32,35,36,58,62,59,63,64,57,61,54,45,48,55,46,

%U 49,50,56,60,53,44,47,51,42,37,39,52,43,38,40,41,65,79,70,84,93

%N Involution of natural numbers: A057502-conjugate of A057164.

%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a>

%F a(n) = A057502(A057164(A057501(n)))

%Y a(n) = A057502(A069889(n)). Occurs in A073200 as row 2361759710983228099211. Cf. also A082313.

%Y Number of cycles: A007123. Number of fixed-points: A001405. Max. cycle size: A046698. LCM of cycle sizes: A046698. (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