A321955 Column k=10 of triangle A257673.

1, 30, 465, 4990, 41820, 292296, 1775075, 9629800, 47604225, 217630430, 930607321, 3755443890, 14405010340, 52827550470, 186123730845, 632552752322, 2080824994210, 6644958372540, 20652164516930, 62605166996300, 185464736482827, 537841680016510, 1529116657680575

Offset: 10

Author

Alois P. Heinz, Nov 22 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 10..5000

Crossrefs

Column k=10 of A257673.

Programs

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))(10):
seq(a(n), n=10..35);

Formula

G.f.: (-1 + Product_{k>=1} 1 / (1 - x^k)^k)^10. - Ilya Gutkovskiy, Jan 31 2021