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A122289 Signature permutations of FORK-transformations of Catalan automorphisms in table A122201.

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%I A122289 #8 Jul 12 2012 00:39:49
%S A122289 0,1,0,2,1,0,3,3,1,0,4,2,2,1,0,5,7,3,2,1,0,6,8,4,3,2,1,0,7,6,6,5,3,2,
%T A122289 1,0,8,4,5,4,5,3,2,1,0,9,5,7,6,6,6,3,2,1,0,10,18,8,7,4,5,6,3,2,1,0,11,
%U A122289 17,9,8,7,4,4,4,3,2,1,0,12,20,10,12,8,7,5,5,4,3,2,1,0,13,22,14,13,12
%N A122289 Signature permutations of FORK-transformations of Catalan automorphisms in table A122201.
%C A122289 Row n is the signature permutation of the Catalan automorphism which is obtained from the n-th automorphism in the table A122201 with the recursion scheme "FORK", or equivalently row n is obtained as FORK(FORK(n-th row of A089840)). See A122201 for the description of FORK. Each row occurs only once in this table. Inverses of these permutations can be found in table A122290.
%D A122289 A. Karttunen, paper in preparation, draft available by e-mail.
%H A122289 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>
%Y A122289 The known rows of this table: row 0 (identity permutation): A001477, row 1: A122351, row 2: A122363. See also tables A089840, A122200, A122201-A122204, A122283-A122284, A122285-A122288.
%K A122289 nonn,tabl
%O A122289 0,4
%A A122289 _Antti Karttunen_, Sep 01 2006