A294704 Expansion of Product_{k>=1} (1 - k^k*x^k)^(k^k).

1, -1, -16, -713, -64711, -9688521, -2165724176, -675843638952, -280752881225790, -149800127712465769, -99844730464906330029, -81300082264515781043363, -79413710307214816810372248, -91652445696245266803423194130

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..214

Formula

a(0) = 1 and a(n) = -(1/n) * Sum_{k=1..n} A294773(k)*a(n-k) for n > 0.

a(n) ~ -n^(2*n). - Vaclav Kotesovec, Nov 09 2017

Mathematica

nmax = 20; CoefficientList[Series[Product[(1 - k^k*x^k)^(k^k), {k, 1, nmax}], {x, 0, nmax}], x]

Prog

(PARI) N=20; x='x+O('x^N); Vec(prod(k=1, N, (1-k^k*x^k)^k^k))

Crossrefs

Column k=1 of A294699.

Cf. A294757, A294773.

Sequence in context: A123824 A198283 A283534 * A264114 A356482 A201622

Adjacent sequences: A294701 A294702 A294703 * A294705 A294706 A294707

Keyword

sign

Author

Seiichi Manyama, Nov 07 2017

Status

approved