A085165 - OEIS

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

%S 0,1,2,3,4,7,5,6,8,9,12,16,17,21,10,18,11,14,15,13,19,20,22,23,26,30,

%T 31,35,42,43,44,45,49,56,57,58,63,24,32,47,46,59,25,48,28,37,38,29,39,

%U 40,41,27,50,33,51,52,34,53,54,55,36,60,61,62,64,65,68,72,73,77

%N A057163-conjugate of A085159.

%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: A085166. a(n) = A057163(A085159(A057163(n))) = A085162(A085166(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