%I #13 Apr 07 2017 10:40:19

%S 1,-1,-15,-66,-54,725,4580,12739,3346,-149076,-791226,-2182124,

%T -1656973,16553206,100646954,318795473,506196578,-818806580,

%U -9148048880,-36415709566,-87180585636,-70923559814,484810027389,2992082912770,9866919438716,19936695359140

%N Expansion of Product_{k>=1} 1/(1+x^k)^(k^4) in powers of x.

%H Seiichi Manyama, <a href="/A284898/b284898.txt">Table of n, a(n) for n = 0..3995</a>

%F a(0) = 1, a(n) = -(1/n)*Sum_{k=1..n} A284926(k)*a(n-k) for n > 0. - _Seiichi Manyama_, Apr 06 2017

%t CoefficientList[Series[Product[1/(1 + x^k)^(k^4) , {k, 40}], {x, 0, 40}], x] (* _Indranil Ghosh_, Apr 05 2017 *)

%o (PARI) x= 'x + O('x^40); Vec(prod(k=1, 40, 1/(1 + x^k)^(k^4))) \\ _Indranil Ghosh_, Apr 05 2017

%Y Cf. A248883.

%Y Product_{k>=1} 1/(1+x^k)^(k^m): A081362 (m=0), A255528 (m=1), A284896 (m=2), A284897 (m=3), this sequence (m=4), A284899 (m=5).

%K sign

%O 0,3

%A _Seiichi Manyama_, Apr 05 2017