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A099871
Decimal expansion of Sum_{n >= 2} (1/log(n)^n).
10
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
OFFSET
1,1
LINKS
EXAMPLE
3.2426094109252482106020387...
MAPLE
evalf(sum(1/(log(n)^n), n=2..5000), 105);
MATHEMATICA
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 *)
PROG
(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
CROSSREFS
Sequence in context: A193295 A356275 A256918 * A157220 A304182 A256284
KEYWORD
cons,easy,nonn
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 02 2004
EXTENSIONS
Edited by N. J. A. Sloane, May 16 2008 at the suggestion of R. J. Mathar
STATUS
approved