|
|
A099873
|
|
Decimal expansion of Sum_{n>=2} ((-1)^n)/(log(n)^n).
|
|
3
|
|
|
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
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
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
(Sage) numerical_approx(sum((-1)^k/log(k)^k for k in [2..1000]), digits=100) # G. C. Greubel, Nov 20 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 02 2004
|
|
STATUS
|
approved
|
|
|
|