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a(n) = Product_{k=0..n} (n^3 + k^3).
7

%I #12 Dec 04 2023 04:29:20

%S 0,2,1152,1428840,3488808960,15044494500000,105235903511101440,

%T 1119277024472896248960,17216259547948971039129600,

%U 368066786222106315186876633600,10591209807103301277597696000000000,399472472359100444604916002033020774400

%N a(n) = Product_{k=0..n} (n^3 + k^3).

%F a(n) ~ 2^(2*n + 1/2) * n^(3*n + 3) / exp((3 - Pi/sqrt(3))*n).

%t Table[Product[n^3+k^3,{k,0,n}],{n,0,12}]

%Y Cf. A126804, A272244, A272247, A272248, A367823, A367833.

%Y Cf. A255433, A323541, A324426.

%K nonn,easy

%O 0,2

%A _Vaclav Kotesovec_, Apr 23 2016