A246244 Sum of ninth powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n.

1, 1, 514, 10195797, 2703788516356, 5361940142039062505, 55063667396158825603112136, 2272169230481993564658922073502463, 312894608313254360747865383525129561090056, 124773193097402414339622625011223384066643153613969

Offset: 0

Author

Alois P. Heinz, Aug 19 2014

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..75

Crossrefs

Column k=9 of A245397.

Programs

Maple

b:= proc(n, i) option remember; `if`(n=0 or i=1, 1,
      add(b(n-j, i-1)*binomial(n, j)^9, j=0..n))
    end:
a:= n-> b(n$2):
seq(a(n), n=0..15);

Formula

a(n) = [x^n] (n!)^9 * (Sum_{j=0..n} x^j/(j!)^9)^n.