A115570 Array read by rows: row n (n>= 1) gives the Betti numbers for the n-th element of the Weyl group of type A3 (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, 3, 3, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 3, 5, 4, 1, 1, 3, 4, 3, 1, 1, 3, 5, 5, 3, 1, 1, 3, 5, 6, 4, 1, 1, 3, 5, 5, 3, 1, 1, 3, 5, 6, 5, 3, 1

Offset

1,9

Comments

The array has 24 rows.

Links

Table of n, a(n) for n=1..96.

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
1 2 2 1
1 3 3 1
1 3 3 1
1 3 3 1

Crossrefs

Cf. A115571-A115583.

Sequence in context: A115583 A115574 A115577 * A069288 A152831 A097795

Adjacent sequences: A115567 A115568 A115569 * A115571 A115572 A115573

Keyword

nonn,tabf,fini,full

Author

Roger L. Bagula, Mar 02 2006

Status

approved