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A122289 Signature permutations of FORK-transformations of Catalan automorphisms in table A122201. +0
16
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, 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, 18, 8, 7, 4, 5, 6, 3, 2, 1, 0, 11, 17, 9, 8, 7, 4, 4, 4, 3, 2, 1, 0, 12, 20, 10, 12, 8, 7, 5, 5, 4, 3, 2, 1, 0, 13, 22, 14, 13, 12 (list; table; graph; listen)
OFFSET

0,4

COMMENT

Row n is the signature permutation of the Catalan automorphism which is obtained from the n-th automorphism in the table A122201 with the recursion scheme "FORK", or equivalently row n is obtained as FORK(FORK(nth row of A089840)). See A122201 for the description of FORK. Each row occurs only once in this table. Inverses of these permutations can be found in table A122290.

REFERENCES

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

LINKS

Index entries for signature-permutations of Catalan automorphisms

CROSSREFS

The known rows of this table: row 0 (identity permutation): A001477, row 1: A122351, row 2: A122363. See also tables A089840, A122200, A122201-A122204, A122283-A122284, A122285-A122288.

Adjacent sequences: A122286 A122287 A122288 this_sequence A122290 A122291 A122292

Sequence in context: A089840 A130400 A130401 this_sequence A122290 A122284 A122203

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Sep 01 2006

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Last modified October 12 11:54 EDT 2008. Contains 144829 sequences.


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