A115571 Array read by rows: row n (n>= 1) gives the Betti numbers for the n-th element of the affine Weyl group of type A2_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, 1, 1, 2, 2, 1, 1, 3, 3, 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, 3, 1, 1, 3, 4, 3, 1, 1, 3, 5, 4, 1, 1, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 3, 5, 4, 1, 1, 3, 4, 3, 1, 1, 3, 5, 4, 1, 1, 3, 5