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A292302
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Expansion of (1 - x)*Sum_{k>=1} k*phi(k)*x^k/(1 - x^k), where phi() is the Euler totient function (A000010).
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0
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1, 2, 4, 4, 10, 0, 22, 0, 18, 2, 48, -34, 80, -28, 18, 24, 102, -90, 160, -112, 70, 32, 174, -206, 220, -50, 76, -74, 340, -372, 490, -248, 94, 42, 84, -232, 662, -304, 70, -196, 738, -738, 904, -586, 60, 240, 642, -966, 904, -538, 348, -184, 1030, -1116, 690, -482, 552, 38, 984, -1806
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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G.f.: (1 - x)*Sum_{k>=1} k*phi(k)*x^k/(1 - x^k).
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MATHEMATICA
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nmax = 60; Rest[CoefficientList[Series[(1 - x) Sum[EulerPhi[k] k x^k /(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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