A272246 a(n) = Product_{k=0..n} (n^3 + k^3).

0, 2, 1152, 1428840, 3488808960, 15044494500000, 105235903511101440, 1119277024472896248960, 17216259547948971039129600, 368066786222106315186876633600, 10591209807103301277597696000000000, 399472472359100444604916002033020774400

Offset: 0

Author

Vaclav Kotesovec, Apr 23 2016

Keywords

• nonn
• easy

Crossrefs

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

Cf. A255433, A323541, A324426.

Programs

Mathematica

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

Formula

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