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A284312
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Expansion of Product_{k>=0} (1 - x^(3*k+1)) in powers of x.
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5
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1, -1, 0, 0, -1, 1, 0, -1, 1, 0, -1, 2, -1, -1, 2, -1, -1, 3, -2, -1, 3, -3, 0, 4, -4, 0, 4, -5, 1, 5, -7, 2, 5, -8, 4, 5, -10, 5, 5, -12, 8, 5, -14, 10, 4, -16, 14, 3, -19, 17, 1, -20, 22, -1, -23, 26, -4, -25, 33, -8, -27, 38, -13, -28, 46, -19, -30, 53, -26, -29
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OFFSET
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0,12
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LINKS
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FORMULA
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a(n) = -(1/n)*Sum_{k=1..n} A078181(k)*a(n-k), a(0) = 1.
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MATHEMATICA
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CoefficientList[Series[Product[1 - x^(3k + 1), {k, 0, 100}], {x, 0, 100}], x] (* Indranil Ghosh, Mar 25 2017 *)
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PROG
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(PARI) Vec(prod(k=0, 100, 1 - x^(3*k + 1)) + O(x^101)) \\ Indranil Ghosh, Mar 25 2017
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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