A344094 a(n) = [x^n] Product_{k>=1} (1 + n^(k+1)*x^k).

1, 1, 8, 324, 5120, 171875, 13716864, 409300871, 20535312384, 976299632280, 144100000000000, 6251749326428232, 484144254340300800, 31585633366079696358, 2452531026468909711360, 483966896057281494140625, 31314307295813796764844032, 3176091371161687418319418614

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..360

Vaclav Kotesovec, Plot of a(n+1)/a(n) for n = 1..400

Mathematica

Table[SeriesCoefficient[Product[(1+n^(k+1)*x^k), {k, 1, n}], {x, 0, n}], {n, 0, 20}]
Join[{1}, Table[SeriesCoefficient[QPochhammer[-n, n*x]/(n+1), {x, 0, n}], {n, 1, 20}]]

Crossrefs

Cf. A292305, A340103, A344095.

Sequence in context: A182275 A171248 A393858 * A264053 A300613 A221407

Adjacent sequences: A344091 A344092 A344093 * A344095 A344096 A344097

Keyword

nonn

Author

Vaclav Kotesovec, May 09 2021

Status

approved