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A329439
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Expansion of Sum_{k>=1} (-1 + Product_{j>=1} 1 / (1 - x^(k*j^2))).
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2
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1, 2, 2, 4, 3, 5, 3, 7, 6, 8, 5, 12, 7, 10, 10, 15, 10, 19, 11, 22, 17, 20, 15, 31, 22, 28, 27, 35, 27, 44, 29, 46, 40, 48, 43, 69, 47, 61, 58, 80, 61, 89, 67, 93, 92, 97, 85, 129, 101, 131, 118, 146, 125, 172, 142, 182, 166, 191, 170, 241, 193, 231, 230
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OFFSET
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1,2
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COMMENTS
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Inverse Moebius transform of A001156.
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LINKS
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FORMULA
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G.f.: Sum_{k>=1} A001156(k) * x^k / (1 - x^k).
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MATHEMATICA
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nmax = 63; CoefficientList[Series[Sum[-1 + Product[1/(1 - x^(k j^2)), {j, 1, Floor[nmax^(1/2)] + 1}], {k, 1, nmax}], {x, 0, nmax}], x] // Rest
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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