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

%I #6 Feb 24 2016 11:01:54

%S 1,-2,-1,0,2,6,-3,12,-13,-2,-15,2,-65,44,37,-90,134,26,334,-270,66,18,

%T 774,-1280,-15,-2266,2627,-352,-3575,-516,-484,5660,-3629,21408,

%U -20639,-1228,15595,31796,-22214,55390,-104447,58958,-160254,180704,17402,-103200

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

%H Vaclav Kotesovec, <a href="/A269339/b269339.txt">Table of n, a(n) for n = 0..5000</a>

%t nmax=50; CoefficientList[Series[Product[(1-k*x^k)/(1+x^k), {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A022661, A081362, A267004, A267005, A268500.

%K sign

%O 0,2

%A _Vaclav Kotesovec_, Feb 24 2016