A085166 - OEIS

%I #6 Mar 31 2012 14:02:19

%S 0,1,2,3,4,6,7,5,8,9,14,16,10,19,17,18,11,12,15,20,21,13,22,23,37,42,

%T 24,51,44,47,25,26,38,53,56,27,60,45,46,48,49,50,28,29,30,31,40,39,43,

%U 32,52,54,55,57,58,59,33,34,35,41,61,62,63,36,64,65,107,121,66,149

%N A057163-conjugate of A085160.

%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>

%Y Inverse: A085165. a(n) = A057163(A085160(A057163(n))) = A085162(A085165(A085162(n))). Occurs in A073200. Cf. also A085162, A086429, A086430.

%Y Number of cycles: A054357. Number of fixed points: 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_, Jun 23 2003