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A374077
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Expansion of Product_{k>=1} 1 / (1 + x^(5*k-2)).
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3
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1, 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, 1, 1, -1, -1, -1, 2, 1, 0, -2, -1, 1, 2, 0, -2, -2, 2, 2, 1, -3, -2, 1, 4, 1, -3, -4, 2, 4, 3, -5, -5, 0, 7, 4, -4, -8, 0, 7, 8, -5, -9, -4, 10, 9, -3, -13, -5, 9, 14, -3, -14, -10, 12, 16, 1, -19, -12, 10, 23, 1, -20, -20, 13, 26, 8, -26
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OFFSET
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0,17
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LINKS
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MATHEMATICA
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nmax = 75; CoefficientList[Series[Product[1/(1 + x^(5 k - 2)), {k, 1, nmax}], {x, 0, nmax}], x]
a[0] = 1; a[n_] := a[n] = (1/n) Sum[DivisorSum[k, (-1)^(k/#) # &, Mod[#, 5] == 3 &] a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 75}]
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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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