A298599 - OEIS

%I #4 Jan 22 2018 18:42:07

%S 1,0,-2,-3,-3,1,5,12,15,13,4,-13,-38,-62,-75,-76,-44,17,114,225,337,

%T 411,419,311,68,-324,-836,-1405,-1947,-2305,-2338,-1865,-787,1001,

%U 3396,6261,9216,11785,13281,13036,10285,4502,-4619,-16918,-31657,-47463,-62182,-73112,-76925

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

%C Partial sums of A073592.

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

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H <a href="/index/Par#part">Index entries for related partition-counting sequences</a>

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

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

%Y Cf. A073592, A078616, A191659.

%K sign

%O 0,3

%A _Ilya Gutkovskiy_, Jan 22 2018