A373862 Decimal expansion of Sum_{k >= 1} log(k)/[k*sqrt(k+1)].

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

Offset

1,1

Links

Table of n, a(n) for n=1..44.

Math StackExchange, How do I test for convergence of log(n)/n/sqrt(n+1), (2019)

Formula

Equals sum_{l>=0} (-1)^(l+1) (2l-1)!! *Zeta'(3/2+l) /(2l)!!.

Example

3.77100949140092...

Crossrefs

Cf. A131688.

Sequence in context: A009467 A258982 A227336 * A353049 A288093 A131608

Adjacent sequences: A373858 A373860 A373861 * A373863 A373865 A373866

Keyword

nonn,cons,new

Author

R. J. Mathar, Jun 19 2024

Status

approved