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A320844
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Expansion of Product_{k>0} (1-x^p(k)), where p(k) is the number of partitions of k (A000041).
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1
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1, -1, -1, 0, 1, 0, 0, 0, 1, 0, -1, -1, 1, 1, -1, -2, 2, 2, -1, -2, 0, 1, -1, 0, 1, 2, 0, -2, -2, 2, -1, 0, 1, 2, -1, -1, 0, 2, -3, -2, 1, 3, -1, 0, 1, 3, -3, -4, 0, 4, 1, -3, 1, 2, -1, -4, -1, 5, 2, -4, 0, 3, 1, -3, -1, 0, 1, -3, 1, 3, 3, -2, -2, -2, 1, -1, 1, 1, 3, -3
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OFFSET
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0,16
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LINKS
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MATHEMATICA
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CoefficientList[Series[Product[1 - x^PartitionsP[k], {k, 1, 120}], {x, 0, 100}], x] (* G. C. Greubel, Oct 27 2018 *)
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PROG
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(PARI) x='x+O('x^50); Vec(prod(k=1, 50, 1-x^numbpart(k))) \\ G. C. Greubel, Oct 27 2018
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!( (&*[1-x^NumberOfPartitions(k): k in [1..100]]))); // G. C. Greubel, Oct 27 2018
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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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