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%I #16 Jan 20 2023 14:34:17
%S 1,0,-1,0,0,-1,0,1,-1,0,1,-1,0,2,-1,-1,2,-1,-1,3,-1,-2,3,-1,-3,4,0,-4,
%T 4,0,-5,5,1,-7,5,2,-8,6,4,-10,5,5,-12,6,8,-14,5,10,-16,5,14,-19,3,17,
%U -21,2,22,-23,-1,26,-26,-3,33,-28,-8,38,-30,-12,46,-32,-19
%N Expansion of Product_{k>=0} (1 - x^(3*k+2)) in powers of x.
%H Seiichi Manyama, <a href="/A284315/b284315.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) = -(1/n) * Sum_{k=1..n} A078182(k) * a(n-k), a(0) = 1.
%t CoefficientList[Series[Product[1 - x^(3k + 2), {k, 0, 100}], {x, 0, 100}], x] (* _Indranil Ghosh_, Mar 25 2017 *)
%o (PARI) Vec(prod(k=0, 100, 1 - x^(3*k+2)) + O(x^101)) \\ _Indranil Ghosh_, Mar 25 2017
%Y Cf. Product_{k>=0} (1 - x^(m*k+m-1)): A081362 (m=2), this sequence (m=3), A284316 (m=4), A284317 (m=5).
%Y Cf. A078182, A262928.
%K sign,look
%O 0,14
%A _Seiichi Manyama_, Mar 25 2017
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