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%I #9 Jul 12 2012 00:39:49
%S 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 1,0,8,5,5,4,5,3,2,1,0,9,4,7,6,6,6,3,2,1,0,10,22,8,7,4,5,6,3,2,1,0,11,
%U 21,9,8,7,4,4,4,3,2,1,0,12,20,14,13,8,7,5,5,4,3,2,1,0,13,18,11,12,13
%N Signature permutations of ENIPS-transformations of Catalan automorphisms in table A122203.
%C 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 "ENIPS", or equivalently row n is obtained as ENIPS(SPINE(n-th row of A089840)). See A122203 and A122204 for the description of SPINE and ENIPS. Each row occurs only once in this table. Inverses of these permutations can be found in table A122286. This table contains also all the rows of A122204 and A089840.
%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 first 22 rows of this table: row 0 (identity permutation): A001477, 1: A082348, 2: A057508, 3: A131141, 4: A131143, 5: A131145, 6: A131147, 7: A131173, 8: A131169, 9: A131149, 10: A131151, 11: A131153, 12: A131171, 13: A131155, 14: A131157, 15: A131159, 16: A131161, 17: A057503, 18: A131163, 19: A131165, 20: A131167, 21: A069768. Other rows: row 251: A130360, 3608: A130339, 3613: A057510, 65352: A074686.
%Y See also tables A089840, A122200, A122201-A122204, A122283-A122284, A122286-A122288, A122289-A122290, A130400-A130403. As a sequence differs from A122286 for the first time at n=92, where a(n)=18, while A122286(n)=17.
%K nonn,tabl
%O 0,4
%A _Antti Karttunen_, Sep 01 2006, Jun 20 2007