

A122286


Signature permutations of SPINEtransformations of Catalan automorphisms in table A122204.


27



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
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OFFSET

0,4


COMMENTS

Row n is the signature permutation of the Catalan automorphism which is obtained from the nth automorphism in the table A122204 with the recursion scheme "SPINE", or equivalently row n is obtained as SPINE(ENIPS(nth 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 email.


LINKS

Table of n, a(n) for n=0..95.
Index entries for signaturepermutations 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, A122201A122204, A122283A122284, A122285A122288, A122289A122290, A130400A130403. As a sequence differs from A122285 for the first time at n=92, where a(n)=17, while A122285(n)=18.
Sequence in context: A122204 A122288 A122201 * A122202 A122285 A100224
Adjacent sequences: A122283 A122284 A122285 * A122287 A122288 A122289


KEYWORD

nonn,tabl


AUTHOR

Antti Karttunen, Sep 01 2006, Jun 20 2007


STATUS

approved



