A246243 Sum of eighth powers of coefficients in full expansion of (z_1+z_2+...+z_n)^n.

1, 1, 258, 1718985, 115245958660, 46377854607812505, 80785609177262537107236, 486005483266096999009285275991, 8558639841332633529404511878004186120, 388791577542234912413815089860741309780872785, 41231194444310047390596429351583294775856761836687780

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..80

Formula

a(n) = [x^n] (n!)^8 * (Sum_{j=0..n} x^j/(j!)^8)^n.

Maple

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
      add(b(n-j, i-1)*binomial(n, j)^7/j!, j=0..n)))
    end:
a:= n-> n!*b(n$2):
seq(a(n), n=0..15);

Crossrefs

Column k=8 of A245397.

Sequence in context: A097734 A121915 A239655 * A066129 A101521 A207060

Adjacent sequences: A246240 A246241 A246242 * A246244 A246245 A246246

Keyword

nonn

Author

Alois P. Heinz, Aug 19 2014

Status

approved