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%I #2 Mar 31 2012 13:21:16
%S 0,1,0,2,1,0,3,3,1,0,4,2,2,1,0,5,7,3,2,1,0,6,8,4,3,2,1,0,7,6,5,4,3,2,
%T 1,0,8,4,7,5,4,3,2,1,0,9,5,6,6,5,4,3,2,1,0,10,17,8,8,8,5,4,3,2,1,0,11,
%U 18,9,7,6,8,5,5,3,2,1,0,12,20,10,9,7,7,7,4,4,3,2,1,0,13,21,12,10,9,6
%N Signature permutations of SPINE-transformations of A057163-conjugates of Catalan automorphisms in table A122204.
%C Row n is the signature permutation of the Catalan automorphism which is obtained from A057163-conjugate of the n-th automorphism in the table A122204 with the recursion scheme "SPINE", i.e. row n is obtained as SPINE(A057163 o ENIPS(A089840[n]) o A057163). 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 A130402. This table contains also all the rows of A122203 and A089840.
%Y Cf. The first 22 rows of this table: row 0 (identity permutation): A001477, 1: A082345, 2: A130936, 3: A073288, 4: A130942, 5: A130940, 6: A130938, 7: A130944, 8: A130946, 9: A130952, 10: A130950, 11: A130948, 12: A057161, 13: A130962, 14: A130964, 15: A069767, 16: A130966, 17: A074688, 18: A130954, 19: A130956, 20: A130960, 21: A130958, Other rows: 169: A069770, 3617: A082339, 65167: A057501.
%Y Cf. also tables A089840, A122201-A122204, A122285-A122286, A130400-A130401.
%Y Cf. As a sequence differs from A130403 for the first time at n=92, where a(n)=21, while A130403(n)=22.
%K nonn,tabl
%O 0,4
%A _Antti Karttunen_, Jun 11 2007
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