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

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

Offset

0,2

Links

Table of n, a(n) for n=0..11.

Formula

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

Mathematica

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

Crossrefs

Cf. A255433, A272244, A272247, A272248, A323541.

Sequence in context: A241921 A340290 A119554 * A277274 A036104 A036106

Adjacent sequences: A272243 A272244 A272245 * A272247 A272248 A272249

Keyword

nonn,easy

Author

Vaclav Kotesovec, Apr 23 2016

Status

approved