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0, 1, 2, 0, 0, -5, 0, -7, 0, 0, 0, 0, 12, 0, 0, 15, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -51, 0, 0, 0, 0, 0, -57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 77, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0
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OFFSET
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0,3
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COMMENTS
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Convolved with the partition numbers A000041 = sigma(n) prefaced with a 0 gives (0, 1, 3, 4, 7, 6, 12, 8, 15, 13,...).
Triangle A174740 convolves the partition numbers with a variant of this sequence, having row sums = A000203, sigma(n). - Gary W. Adamson, Mar 28 2010
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LINKS
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FORMULA
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G.f.: -x * d eta(x)/dx (derivative) where eta(x) = prod(n>=1, 1-x^n). - Joerg Arndt, Mar 14 2010
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EXAMPLE
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a(5) = -5 = (-5) * A010815(5) = (-5) * 1.
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MATHEMATICA
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A010815[n_] := SeriesCoefficient[Product[1 - x^k, {k, n}], {x, 0, n}];
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PROG
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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