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A122288 Signature permutations of KROF-transformations of Catalan automorphisms in table A122203.

%I A122288 #9 Jul 12 2012 00:39:49
%S A122288 0,1,0,2,1,0,3,3,1,0,4,2,2,1,0,5,8,3,2,1,0,6,7,4,3,2,1,0,7,6,6,5,3,2,
%T A122288 1,0,8,4,5,4,5,3,2,1,0,9,5,7,6,6,6,3,2,1,0,10,22,8,7,4,5,6,3,2,1,0,11,
%U A122288 21,9,8,7,4,4,4,3,2,1,0,12,20,14,13,8,7,5,5,4,3,2,1,0,13,17,11,12,13
%N A122288 Signature permutations of KROF-transformations of Catalan automorphisms in table A122203.
%C A122288 Row n is the signature permutation of the Catalan automorphism which is obtained from the n-th automorphism in the table A122203 with the recursion scheme "KROF", or equivalently row n is obtained as KROF(SPINE(n-th row of A089840)). See A122202 and A122203 for the description of KROF and SPINE. Moreover, each row of A122288 can be obtained as the "NEPEED" transform of the corresponding row in A122285. (See A122284 for the description of NEPEED). Each row occurs only once in this table. Inverses of these permutations can be found in table A122287. This table contains also all the rows of A122202 and A089840.
%D A122288 A. Karttunen, paper in preparation, draft available by e-mail.
%H A122288 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>
%Y A122288 The first 22 rows of this table: row 0 (identity permutation): A001477, 1: A069768, 2: A057164, 3: A130981, 4: A130983, 5: A130982, 6: A130984, 7: A130985, 8: A130987, 9: A130989, 10: A130991, 11: A130993, 12: A131009, 13: A130995, 14: A130997, 15: A130999, 16: A131001, 17: A057505, 18: A131003, 19: A131005, 20: A131007, 21: A057163. Other rows: 251: A122354, 3613: A057512, 65352: A074682.
%Y A122288 See also tables A089840, A122200, A122201-A122204, A122283-A122284, A122285-A122286, A122289-A122290, A130400-A130403.
%K A122288 nonn,tabl
%O A122288 0,4
%A A122288 _Antti Karttunen_, Sep 01 2006, Jun 20 2007