A122289 Signature permutations of FORK-transformations of Catalan automorphisms in table A122201.

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

Offset

0,4

Comments

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(n-th 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

Table of n, a(n) for n=0..95.

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.

Sequence in context: A089840 A130400 A130401 * A122290 A122284 A122203

Adjacent sequences: A122286 A122287 A122288 * A122290 A122291 A122292

Keyword

nonn,tabl

Author

Antti Karttunen, Sep 01 2006

Status

approved