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Signature permutations of KROF-transformations of Catalan automorphisms in table A122202.
18

%I #8 Jul 12 2012 00:39:49

%S 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 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 17,9,8,7,4,4,4,3,2,1,0,12,20,10,12,8,7,5,5,4,3,2,1,0,13,22,14,13,15

%N Signature permutations of KROF-transformations of Catalan automorphisms in table A122202.

%C Row n is the signature permutation of the Catalan automorphism which is obtained from the n-th automorphism in the table A122202 with the recursion scheme "KROF", or equivalently row n is obtained as KROF(KROF(n-th row of A089840)). See A122202 for the description of KROF. Each row occurs only once in this table. Inverses of these permutations can be found in table A122289.

%D A. Karttunen, paper in preparation, draft available by e-mail.

%H <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>

%Y The known rows of this table: row 0 (identity permutation): A001477, row 1: A122351, row 2: A122364. See also tables A089840, A122200, A122201-A122204, A122283-A122284, A122285-A122288.

%K nonn,tabl

%O 0,4

%A _Antti Karttunen_, Sep 01 2006