%I #17 Jan 26 2019 02:16:26
%S 0,1,131072,2843192875329,94689598336441253888,
%T 30456484467910986480712890625,24450543078081443740165325452474318848,
%U 74458223912158060479139869222818674648092178561,545831702006800417886454373052629612732034857946832699392
%N a(n) = Product_{k=0..n} (k^8 + (n-k)^8).
%H Seiichi Manyama, <a href="/A323546/b323546.txt">Table of n, a(n) for n = 0..71</a>
%F a(n) ~ exp(((2*sqrt(2+sqrt(2)) - 1/2 - sqrt(2))*Pi - 8)*n) * n^(8*n+8).
%t Table[Product[k^8+(n-k)^8, {k, 0, n}], {n, 0, 10}]
%o (PARI) m=8; vector(10, n, n--; prod(k=0,n, k^m + (n-k)^m)) \\ _G. C. Greubel_, Jan 18 2019
%o (Sage) m=8; [product(k^m +(n-k)^m for k in (0..n)) for n in (0..10)] # _G. C. Greubel_, Jan 18 2019
%Y Cf. A323538, A323540, A323541, A323542, A323543, A323544, A323545, A320345.
%Y Cf. 2*A000542 (with sum instead of product).
%K nonn
%O 0,3
%A _Vaclav Kotesovec_, Jan 17 2019