A375843 a(n) = Product_{k=0..n} (k^6 + n).

0, 2, 396, 588528, 4087208000, 97390176449400, 6465177278417919600, 1030450155933504769261568, 352805275175791344554903371776, 238031797291547406166218644352900000, 295416986525310718941438520613968960376000

Offset

0,2

Links

Table of n, a(n) for n=0..10.

Formula

a(n) ~ n^(6*n + 7/2) / exp(6*n - 2*Pi*n^(1/6)).

Mathematica

Table[Product[k^6 + n, {k, 0, n}], {n, 0, 15}]

Crossrefs

Cf. A258871, A354054.

Cf. A375839, A375840, A375841, A375842, A375844, A375845.

Sequence in context: A249176 A249177 A249178 * A281650 A324403 A214597

Adjacent sequences: A375840 A375841 A375842 * A375844 A375845 A375846

Keyword

nonn

Author

Vaclav Kotesovec, Aug 31 2024

Status

approved