A099873 Decimal expansion of Sum_{n>=2} ((-1)^n)/(log(n)^n).

1, 5, 2, 8, 3, 2, 1, 4, 1, 1, 1, 9, 2, 6, 4, 4, 9, 1, 0, 1, 6, 8, 5, 1, 3, 4, 8, 5, 9, 6, 5, 9, 8, 7, 8, 2, 0, 6, 2, 6, 5, 5, 8, 3, 3, 3, 1, 0, 0, 8, 2, 3, 1, 3, 8, 4, 6, 4, 7, 1, 0, 8, 1, 8, 7, 8, 9, 5, 5, 5, 3, 9, 3, 6, 5, 8, 0, 8, 5, 0, 3, 1, 4, 6, 1, 8, 1, 9, 7, 1, 7, 2, 0, 2, 1, 8, 0, 4, 0, 0, 7, 1, 1, 2, 9

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Example

1.52832141119264491016851348596598782062655833310082313846471081878...

Mathematica

RealDigits[ Sum[ N[(-1)^n/Log[n]^n, 128], {n, 2, 160}], 10, 111][[1]] (* Robert G. Wilson v, Dec 21 2004 *)

Prog

(PARI) sumalt(n=2, ((-1)^(n))/(log(n)^n))
(Magma) SetDefaultRealField(RealField(100)); [(&+[(-1)^k/Log(k)^k: k in [2..1000]])]; // G. C. Greubel, Nov 20 2018
(SageMath) numerical_approx(sum((-1)^k/log(k)^k for k in [2..1000]), digits=100) # G. C. Greubel, Nov 20 2018

Crossrefs

Cf. A099871.

Sequence in context: A013674 A155975 A152956 * A185353 A345712 A393898

Adjacent sequences: A099870 A099871 A099872 * A099874 A099875 A099876

Keyword

cons,easy,nonn

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 02 2004

Status

approved