

A122288


Signature permutations of KROFtransformations of Catalan automorphisms in table A122203.


36



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, 4, 5, 4, 5, 3, 2, 1, 0, 9, 5, 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 A122203 with the recursion scheme "KROF", or equivalently row n is obtained as KROF(SPINE(nth row of A089840)). See A122202 and A122203 for the description of KROF and SPINE. Moreover, each row of A122288 can be obtained as the "NEPEED" transform of the corresponding row in A122285. (See A122284 for the description of NEPEED). Each row occurs only once in this table. Inverses of these permutations can be found in table A122287. This table contains also all the rows of A122202 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: A069768, 2: A057164, 3: A130981, 4: A130983, 5: A130982, 6: A130984, 7: A130985, 8: A130987, 9: A130989, 10: A130991, 11: A130993, 12: A131009, 13: A130995, 14: A130997, 15: A130999, 16: A131001, 17: A057505, 18: A131003, 19: A131005, 20: A131007, 21: A057163. Other rows: 251: A122354, 3613: A057512, 65352: A074682.
See also tables A089840, A122200, A122201A122204, A122283A122284, A122285A122286, A122289A122290, A130400A130403.
Sequence in context: A122287 A122283 A122204 * A122201 A122286 A122202
Adjacent sequences: A122285 A122286 A122287 * A122289 A122290 A122291


KEYWORD

nonn,tabl


AUTHOR

Antti Karttunen, Sep 01 2006, Jun 20 2007


STATUS

approved



