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