A343918 Decimal expansion of Sum_{k>=2} k*log(k)/(k^2-1)^2 .

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Formula

Equals -Sum_{i>=1} i*Zeta'(2*i+1), weighted sum over first derivatives of Riemann-Zeta.

Example

0.281482...

Prog

(PARI) sumpos(k=2, k*log(k)/(k^2-1)^2 ) \\ Michel Marcus, May 04 2021

Crossrefs

Cf. A340485.

Sequence in context: A100064 A352589 A275980 * A156029 A333476 A120026

Adjacent sequences: A343915 A343916 A343917 * A343919 A343920 A343921

Keyword

nonn,cons

Author

R. J. Mathar, May 04 2021

Status

approved