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A343918
Decimal expansion of Sum_{k>=2} k*log(k)/(k^2-1)^2 .
0
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
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: A153188 A352589 A275980 * A156029 A333476 A120026
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, May 04 2021
STATUS
approved