A122286 Signature permutations of SPINE-transformations of Catalan automorphisms in table A122204.

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, 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, 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

Offset: 0

Author

Antti Karttunen, Sep 01 2006, Jun 20 2007

Keywords

• nonn
• tabl

Comments

Row n is the signature permutation of the Catalan automorphism which is obtained from the n-th automorphism in the table A122204 with the recursion scheme "SPINE", or equivalently row n is obtained as SPINE(ENIPS(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 A122285. This table contains also all the rows of A122203 and A089840.

References

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

Links

• Index entries for signature-permutations of Catalan automorphisms

Crossrefs

The first 22 rows of this table: row 0 (identity permutation): A001477, 1: A082347, 2: A057508, 3: A131142, 4: A131148, 5: A131146, 6: A131144, 7: A131173, 8: A131170, 9: A131154, 10: A131152, 11: A131150, 12: A057504, 13: A131164, 14: A131166, 15: A069767, 16: A131168, 17: A131172, 18: A131156, 19: A131158, 20: A131162, 21: A131160. Other rows: row 169: A130359, 3608: A130339, 3617: A057509, 65167: A074685.

See also tables A089840, A122200, A122201-A122204, A122283-A122284, A122285-A122288, A122289-A122290, A130400-A130403. As a sequence differs from A122285 for the first time at n=92, where a(n)=17, while A122285(n)=18.