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%I #14 Jan 18 2023 02:23:05
%S 1,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,1,0,-1,0,0,0,0,1,0,-1,0,0,0,0,2,
%T 0,-1,0,0,-1,0,2,0,-1,0,0,-1,0,3,0,-1,0,0,-2,0,3,0,-1,0,0,-3,0,4,0,-1,
%U 1,0,-4,0,4,0,-1,1,0,-5,0,5,0,-1,2,0,-7,0,5,0
%N Expansion of Product_{k>=0} (1 - x^(7*k+5)) in powers of x.
%H Seiichi Manyama, <a href="/A284503/b284503.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) = -(1/n) * Sum_{k=1..n} A284446(k) * a(n-k), a(0) = 1.
%t CoefficientList[Series[Product[1 - x^(7k + 5), {k, 0, 100}], {x, 0, 100}], x] (* _Indranil Ghosh_, Mar 28 2017 *)
%o (PARI) Vec(prod(k=0, 100, 1 - x^(7*k + 5)) + O(x^101)) \\ _Indranil Ghosh_, Mar 28 2017
%Y Cf. Product_{k>=0} (1 - x^(7*k+m)): A284499 (m=1), A284500 (m=2), A284501 (m=3), A284502 (m=4), this sequence (m=5), A284504 (m=6).
%Y Cf. A281455.
%K sign,look
%O 0,32
%A _Seiichi Manyama_, Mar 28 2017
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