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%I #5 Mar 31 2012 13:21:14
%S 0,1,2,3,5,4,6,7,8,12,13,11,10,9,15,14,16,17,18,19,20,21,22,31,32,34,
%T 35,36,30,33,29,26,27,28,25,24,23,40,41,39,38,37,43,42,44,45,46,47,48,
%U 49,50,52,51,53,54,55,56,57,58,59,60,61,62,63,64,87,88,90,91,92,96,97
%N Row 3 of A122203.
%C The signature-permutation of the Catalan automorphism which is derived from the third non-recursive Catalan automorphism *A089850 with recursion schema SPINE (see A122203 for the definition). This automorphism is also produced when automorphism *A069767 is applied to the right-hand side subtree of the given binary tree, with the left side left intact.
%H A. Karttunen, <a href="/A130341/b130341.txt">Table of n, a(n) for n = 0..2055</a>
%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>
%Y Inverse: A130342. a(n) = A069767(A069770(n)). The number of cycles and the number of fixed points in range [A014137(n-1)..A014138(n-1)] of this permutation are given by A089404 and A073268. Cf. also A073286.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jun 05 2007
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