A297324 a(n) = [x^n] Product_{k>=1} (1 - k*x^k)^n.

1, -1, -3, 8, 9, -26, -168, 489, 1041, -5599, 12, 27103, 23436, -222912, -435473, 3177433, 375569, -24956018, 6931209, 181844002, 57372644, -2158209675, 853739235, 20642183588, -25063980804, -148768035501, 224915906836, 1322267927471, -2337343745721, -12604818831294

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Formula

a(n) = A297323(n,n).

Mathematica

Table[SeriesCoefficient[Product[(1 - k x^k)^n, {k, 1, n}], {x, 0, n}], {n, 0, 29}]

Crossrefs

Main diagonal of A297323.

Cf. A297322, A297326, A297329.

Sequence in context: A099256 A167344 A025615 * A223331 A101720 A093439

Adjacent sequences: A297321 A297322 A297323 * A297325 A297326 A297327

Keyword

sign

Author

Ilya Gutkovskiy, Dec 28 2017

Status

approved