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A284501
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Expansion of Product_{k>=0} (1 - x^(7*k+3)) in powers of x.
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6
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1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, -1, -1, 0, 0, 2, 0, 0, -1, -1, 0, 0, 3, 0, 0, -2, -1, 0, 0, 3, 0, 0, -3, -1, 0, 1, 4, 0, 0, -4, -1, 0, 1, 4, 0, 0, -5, -1, 0, 2, 5, 0, 0, -7, -1, 0, 3, 5, 0, 0, -8, -1, 0, 5
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OFFSET
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0,28
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LINKS
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FORMULA
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a(n) = -(1/n)*Sum_{k=1..n} A284444(k)*a(n-k), a(0) = 1.
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MATHEMATICA
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CoefficientList[Series[Product[1 - x^(7k + 3), {k, 0, 100}], {x, 0, 100}], x] (* Indranil Ghosh, Mar 28 2017 *)
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PROG
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(PARI) Vec(prod(k=0, 100, 1 - x^(7*k + 3)) + O(x^101)) \\ Indranil Ghosh, Mar 28 2017
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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