A298599 Expansion of Product_{k>=2} (1 - x^k)^k.

1, 0, -2, -3, -3, 1, 5, 12, 15, 13, 4, -13, -38, -62, -75, -76, -44, 17, 114, 225, 337, 411, 419, 311, 68, -324, -836, -1405, -1947, -2305, -2338, -1865, -787, 1001, 3396, 6261, 9216, 11785, 13281, 13036, 10285, 4502, -4619, -16918, -31657, -47463, -62182, -73112, -76925

Offset: 0

Author

Ilya Gutkovskiy, Jan 22 2018

Keywords

• sign

Comments

Partial sums of A073592.

Euler transform of sequence [-2, -3, -4, -5, -6, -7, -8, -9, ...].

Links

• N. J. A. Sloane, Transforms
• Index entries for related partition-counting sequences

Crossrefs

Cf. A073592, A078616, A191659.

Programs

Mathematica

nmax = 48; CoefficientList[Series[Product[(1 - x^k)^k, {k, 2, nmax}], {x, 0, nmax}], x]

Formula

G.f.: Product_{k>=2} (1 - x^k)^k.