This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A375845 #10 Aug 31 2024 13:02:05
%S A375845 0,2,1548,20400912,2237404520000,1316258829530177400,
%T A375845 3107531556500789042401392,23981023412887138890925360910336,
%U A375845 519343443733819692494314622381817102336,28055691989665530513724742545624840551562500000
%N A375845 a(n) = Product_{k=0..n} (k^8 + n).
%C A375845 In general, for m > 2, Product_{k=0..n} (k^m + n) ~ n^(m*n + (m+1)/2) / exp(m*n - Pi * n^(1/m) / sin(Pi/m)).
%F A375845 a(n) ~ n^(8*n + 9/2) / exp(8*n - Pi*sqrt(2*(2+sqrt(2)))*n^(1/8)).
%t A375845 Table[Product[k^8 + n, {k, 0, n}], {n, 0, 15}]
%Y A375845 Cf. A334411.
%Y A375845 Cf. A126804 (m=1), A375839 (m=2), A375840 (m=3), A375841 (m=4), A375842 (m=5), A375843 (m=6), A375844 (m=7).
%K A375845 nonn
%O A375845 0,2
%A A375845 _Vaclav Kotesovec_, Aug 31 2024