A246243 - OEIS

%I #4 Aug 19 2014 20:25:16

%S 1,1,258,1718985,115245958660,46377854607812505,

%T 80785609177262537107236,486005483266096999009285275991,

%U 8558639841332633529404511878004186120,388791577542234912413815089860741309780872785,41231194444310047390596429351583294775856761836687780

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

%H Alois P. Heinz, <a href="/A246243/b246243.txt">Table of n, a(n) for n = 0..80</a>

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

%p b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,

%p       add(b(n-j, i-1)*binomial(n, j)^7/j!, j=0..n)))

%p     end:

%p a:= n-> n!*b(n$2):

%p seq(a(n), n=0..15);

%Y Column k=8 of A245397.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Aug 19 2014