OFFSET
0,2
FORMULA
Equals log(2)*zeta(3/2)/sqrt(2) +(1-1/sqrt(2))*zeta'(3/2) = Sum_{i>=1} (-1)^i*log(i)/i^(3/2).
EXAMPLE
0.12867475083035719009595292991030137571142185354249...
MAPLE
s :=3/2 ; 2^(1-s)*log(2)*Zeta(s)+(1-2^(1-s))*Zeta(1, s) ; evalf(%) ;
MATHEMATICA
RealDigits[DirichletEta'[3/2], 10, 120][[1]] (* Amiram Eldar, Aug 19 2024 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Aug 18 2024
STATUS
approved