A354295 Decimal expansion of Sum_{k>=1} (-1)^k * log(k) / (k+1).

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

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.

Links

Table of n, a(n) for n=0..105.

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

Cf. A091812, A257812.

Sequence in context: A245770 A117020 A011459 * A100044 A327956 A309822

Adjacent sequences: A354292 A354293 A354294 * A354296 A354297 A354298

Keyword

nonn,cons

Author

Vaclav Kotesovec, May 23 2022

Status

approved