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%I #5 Mar 31 2012 13:21:13
%S 0,1,3,2,7,6,5,8,4,22,13,17,16,14,19,11,12,21,20,10,18,15,9,63,35,62,
%T 61,34,59,32,55,52,29,45,44,42,37,56,30,53,51,28,50,27,41,64,36,31,58,
%U 57,54,47,25,39,60,33,26,49,48,40,24,46,43,38,23,196,120,106,148,78
%N Signature-permutation of a Catalan automorphism: composition of A125976 and A069771.
%C Like A069771, A069772, A125976 and A126313/A126314, this automorphism keeps symmetric Dyck paths symmetric, but not necessarily same.
%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>
%Y Inverse: A126315. a(n) = A125976(A069771(n)) = A069771(A126290(n)) = A057164(A126314(n)).
%K nonn
%O 0,3
%A _Antti Karttunen_, Jan 16 2007
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