A115583 Array read by rows: row n (>= 1) gives the Betti numbers for the n-th element of the affine Weyl group of type G2_tilde (in Goresky's standard ordering).

1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 2, 2, 2, 1, 1, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 2, 2, 2, 1, 1, 3, 4, 3, 1, 1, 3, 5, 4, 1, 1, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 2, 2, 2

Offset

1,9

Comments

There are infinitely many rows.

Links

Table of n, a(n) for n=1..99.

Mark Goresky, Tables of Kazhdan-Lusztig polynomials

Index entries for sequences related to groups

Example

Array begins:
1
1 1
1 1
1 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1

Crossrefs

Cf. A115570-A115582.

Sequence in context: A333805 A152844 A115580 * A115574 A115577 A115570

Adjacent sequences: A115580 A115581 A115582 * A115584 A115585 A115586

Keyword

nonn,tabf

Author

Roger L. Bagula, Mar 04 2006

Status

approved