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A339352
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G.f.: Product_{k>=1} (1 + (-x)^(k^2) / (1 + x^k)).
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0
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1, -1, 1, -1, 2, -2, 1, -1, 2, -3, 2, -2, 4, -5, 4, -4, 7, -8, 7, -7, 9, -10, 8, -8, 11, -14, 13, -13, 16, -18, 17, -16, 19, -22, 23, -23, 26, -29, 29, -30, 34, -38, 38, -39, 44, -48, 47, -48, 56, -64, 65, -66, 75, -82, 80, -80, 90, -99, 98, -100, 114
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OFFSET
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0,5
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COMMENTS
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The difference between the number of partitions of n into an even number of parts where every part k appears at least k times and the number of partitions of n into an odd number of parts where every part k appears at least k times.
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LINKS
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MATHEMATICA
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nmax = 60; CoefficientList[Series[Product[1 + (-x)^(k^2)/(1 + x^k), {k, 1, nmax}], {x, 0, nmax}], x]
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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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