A375841 a(n) = Product_{k=0..n} (k^4 + n).

0, 2, 108, 19152, 8840000, 8908817400, 17303456226672, 59111538137501696, 331331804053754904576, 2885800103371503562500000, 37384163240259410286768056000, 694933775143924511454539020849152, 17989643936954432911290280974476623872, 632268529759009258574304284235050340614528

Offset: 0

Author

Vaclav Kotesovec, Aug 31 2024

Keywords

• nonn

Crossrefs

Cf. A258870, A255434.

Cf. A375839, A375840, A375842, A375843, A375844, A375845.

Programs

Mathematica

Table[Product[k^4 + n, {k, 0, n}], {n, 0, 15}]

Formula

a(n) ~ n^(4*n + 5/2) / exp(4*n - Pi*sqrt(2)*n^(1/4)).