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%I #5 Mar 31 2012 13:21:14
%S 0,1,2,3,5,4,6,7,8,13,12,11,9,10,15,14,16,17,18,19,20,21,22,36,35,34,
%T 31,32,33,30,28,23,24,29,25,26,27,41,40,39,37,38,43,42,44,45,46,47,48,
%U 49,50,52,51,53,54,55,56,57,58,59,60,61,62,63,64,106,105,104,100,101
%N Row 3 of A122204.
%C The signature-permutation of the Catalan automorphism which is derived from the third non-recursive Catalan automorphism *A089850 with recursion schema ENIPS (see A122204 for the definition). This automorphism is also produced when automorphism *A069768 is applied to the right-hand side subtree of the given binary tree, with the left side left intact.
%H A. Karttunen, <a href="/A130342/b130342.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: A130341. a(n) = A069770(A069768(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 A073287.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jun 05 2007
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