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A226121
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Decimal expansion of sum_{n=1..infinity} n^3/(exp(2*Pi*n/13)-1).
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1
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1, 1, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 5, 9, 3, 7, 4, 5, 8, 5, 1, 0, 2, 5, 5, 4, 7, 3, 3, 5, 5, 8, 8, 5, 8, 4, 9, 1, 3, 3, 9, 7, 3, 8, 4, 1, 5, 0, 4, 3, 3, 9, 1, 5, 8, 0, 5, 4, 1, 2, 7, 9, 3, 5, 1, 5, 8, 7, 8, 5, 1, 6, 5, 4, 2, 3, 2
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OFFSET
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3,3
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COMMENTS
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An almost-integer discovered by Simon Plouffe. The computed sum equals 119 within 31 digits after the decimal point.
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LINKS
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EXAMPLE
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119.0000000000000000000000000000000959374585102554733558858491339738415043391...
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MATHEMATICA
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NSum[n^3/(Exp[2*Pi*n/13] - 1), {n, 1, Infinity}, NSumTerms -> 500, WorkingPrecision -> 100] // RealDigits[#, 10, 100] & // First
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CROSSREFS
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Cf. A060295 (a famous almost-integer: Ramanujan's constant), A226120 (another surprising almost-integer by Simon Plouffe).
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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