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A306769
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Decimal expansion of Sum_{k>=2} (-1)^k * Zeta(k)^2 / k.
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5
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1, 0, 4, 3, 4, 0, 2, 9, 1, 7, 5, 7, 4, 2, 8, 8, 7, 3, 3, 2, 5, 5, 2, 8, 9, 6, 4, 6, 6, 7, 1, 6, 7, 6, 0, 3, 0, 5, 4, 8, 4, 7, 0, 8, 6, 6, 0, 4, 6, 8, 8, 2, 5, 6, 1, 0, 4, 4, 5, 7, 0, 4, 7, 9, 7, 6, 9, 5, 8, 5, 0, 6, 2, 5, 5, 2, 5, 2, 4, 8, 4, 3, 2, 7, 6, 1, 5, 1, 0, 7, 2, 0, 7, 9, 8, 4, 1, 4, 3, 5, 6, 2, 1, 4, 6
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OFFSET
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1,3
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COMMENTS
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Sum_{k>=2} (-1)^k*Zeta(k)/k = A001620 (see MathWorld, formula 122).
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LINKS
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FORMULA
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EXAMPLE
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1.043402917574288733255289646671676030548470866046882561044570479769585...
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MAPLE
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evalf(Sum((-1)^j*Zeta(j)^2/j, j=2..infinity), 100);
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MATHEMATICA
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NSum[(-1)^k*Zeta[k]^2/k, {k, 2, Infinity}, WorkingPrecision -> 200, NSumTerms -> 100000]
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PROG
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(PARI) sumalt(k=2, (-1)^k*zeta(k)^2/k) \\ Michel Marcus, Mar 09 2019
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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