

A130403


Signature permutations of SPINEtransformations of A057163conjugates of Catalan automorphisms in table A122204.


31



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, 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, 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
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OFFSET

0,4


COMMENTS

Row n is the signature permutation of the Catalan automorphism which is obtained from A057163conjugate of the nth 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.


LINKS

Table of n, a(n) for n=0..96.


CROSSREFS

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.
Cf. also tables A089840, A122201A122204, A122285A122286, A130400A130401.
Cf. As a sequence differs from A130403 for the first time at n=92, where a(n)=21, while A130403(n)=22.
Sequence in context: A186904 A216216 A078803 * A130402 A089840 A130400
Adjacent sequences: A130400 A130401 A130402 * A130404 A130405 A130406


KEYWORD

nonn,tabl


AUTHOR

Antti Karttunen, Jun 11 2007


STATUS

approved



