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A099871
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Decimal expansion of Sum_{n >= 2} (1/log(n)^n).
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10
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3, 2, 4, 2, 6, 0, 9, 4, 1, 0, 9, 2, 5, 2, 4, 8, 2, 1, 0, 6, 0, 2, 0, 3, 8, 7, 2, 8, 4, 9, 8, 1, 2, 8, 8, 1, 7, 8, 6, 3, 5, 8, 0, 4, 0, 4, 2, 6, 1, 9, 0, 8, 3, 9, 3, 4, 5, 3, 6, 6, 6, 0, 1, 4, 9, 3, 5, 0, 3, 2, 7, 8, 3, 7, 3, 0, 5, 4, 8, 4, 6, 6, 3, 9, 8, 8, 3, 1, 9, 9, 5, 2, 1, 5, 4, 0, 1, 9, 9, 4, 2, 2, 5, 4, 4
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OFFSET
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1,1
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LINKS
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EXAMPLE
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3.2426094109252482106020387...
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MAPLE
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evalf(sum(1/(log(n)^n), n=2..5000), 105);
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MATHEMATICA
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digits = 105; NSum[1/Log[n]^n, {n, 2, Infinity}, NSumTerms -> 2*digits, WorkingPrecision -> digits+1] // RealDigits[#, 10, digits] & // First (* Jean-François Alcover, Feb 21 2014 *)
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PROG
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(PARI) default(realprecision, 100); sum(k=2, 1000, 1/log(k)^k) \\ G. C. Greubel, Nov 20 2018
(Magma) SetDefaultRealField(RealField(100)); [(&+[1/Log(k)^k: k in [2..1000]])]; // G. C. Greubel, Nov 20 2018
(Sage) numerical_approx(sum(1/log(k)^k for k in [2..1000]), digits=100) # G. C. Greubel, Nov 20 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 02 2004
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EXTENSIONS
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STATUS
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approved
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