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

8,2

Links

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

Formula

G.f.: (-1 + Product_{k>=1} 1 / (1 - x^k)^k)^8. - Ilya Gutkovskiy, Jan 31 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))(8):
seq(a(n), n=8..35);

Crossrefs

Column k=8 of A257673.

Sequence in context: A010976 A100130 A014103 * A206002 A000552 A233876

Adjacent sequences: A321950 A321951 A321952 * A321954 A321955 A321956

Keyword

nonn

Author

Alois P. Heinz, Nov 22 2018

Status

approved