A321950 Column k=5 of triangle A257673.

1, 15, 120, 695, 3285, 13473, 49730, 169115, 538440, 1623660, 4677121, 12955065, 34682730, 90113220, 227992870, 563267203, 1361992935, 3229643480, 7522847555, 17237982025, 38905739524, 86585024910, 190193593830, 412712252535, 885382820550, 1879084411753

Offset

5,2

Links

Alois P. Heinz, Table of n, a(n) for n = 5..5000

Formula

G.f.: (-1 + Product_{k>=1} 1 / (1 - x^k)^k)^5. - Ilya Gutkovskiy, Jan 30 2021

Maple

b:= proc(n, k) option remember; `if`(n=0, 1, k*add(
      b(n-j, k)*numtheory[sigma][2](j), j=1..n)/n)
    end:
a:= n-> (k-> add(b(n, k-i)*(-1)^i*binomial(k, i), i=0..k))(5):
seq(a(n), n=5..35);

Crossrefs

Column k=5 of A257673.

Sequence in context: A247612 A010967 A022580 * A081079 A138424 A279267

Adjacent sequences: A321947 A321948 A321949 * A321951 A321952 A321953

Keyword

nonn

Author

Alois P. Heinz, Nov 22 2018

Status

approved