OFFSET
0,2
REFERENCES
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 1 (Overseas Publishers Association, Amsterdam, 1986), p. 746, section 5.5.1, formula 4.
EXAMPLE
0.096614934732226887013571828677661550056338319496835535473156803861323...
MAPLE
evalf(Sum((-1)^k*log(k)/(k + 1), k = 1..infinity), 105);
MATHEMATICA
N[NSum[(-1)^k*Log[k]/(k+1), {k, 1, Infinity}, WorkingPrecision -> 120, Method -> "AlternatingSigns"], 105]
PROG
(PARI) sumalt(k=1, (-1)^k*log(k)/(k+1))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, May 23 2022
STATUS
approved