A122290 Signature permutations of KROF-transformations of Catalan automorphisms in table A122202.

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, 15

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 A122202 with the recursion scheme "KROF", or equivalently row n is obtained as KROF(KROF(n-th row of A089840)). See A122202 for the description of KROF. Each row occurs only once in this table. Inverses of these permutations can be found in table A122289.

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: A122364. See also tables A089840, A122200, A122201-A122204, A122283-A122284, A122285-A122288.

Sequence in context: A130400 A130401 A122289 * A122284 A122203 A122287

Adjacent sequences: A122287 A122288 A122289 * A122291 A122292 A122293

Keyword

nonn,tabl

Author

Antti Karttunen, Sep 01 2006

Status

approved