A367823 a(n) = Product_{k=0..n} (n^6 + k^6).

0, 2, 532480, 615291760980, 2759348178649088000, 38607000141072009765625000, 1421393314362014000255258433945600, 120987688662917113214734283836109985530000, 21538956798613753302336535534471908360548515840000, 7407676630843157974199152503244776880017496531101658740000

Offset: 0

Author

Vaclav Kotesovec, Dec 02 2023

Keywords

• nonn

Crossrefs

Cf. A126804, A272244, A272246, A272247, A272248, A324439, A367833.

Programs

Mathematica

Table[Product[n^6 + k^6, {k, 0, n}], {n, 0, 10}]

PARI

a(n) = prod(k=0, n, n^6 + k^6); \\ Michel Marcus, Dec 02 2023

Formula

a(n) ~ 2^(n + 1/2) * (2 + sqrt(3))^(sqrt(3)*n) * n^(6*n + 6) / exp((6 - Pi)*n).