A321953 Column k=8 of triangle A257673.

1, 24, 300, 2624, 18126, 105552, 539408, 2485016, 10518477, 41482336, 154055260, 543239064, 1830924554, 5929728456, 18534968236, 56121729792, 165117049094, 473276306552, 1324582728412, 3626879184272, 9732325392280, 25631811881168, 66342981204768

Offset: 8

Author

Alois P. Heinz, Nov 22 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 8..5000

Crossrefs

Column k=8 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))(8):
seq(a(n), n=8..35);

Formula

G.f.: (-1 + Product_{k>=1} 1 / (1 - x^k)^k)^8. - Ilya Gutkovskiy, Jan 31 2021