OFFSET
0,2
LINKS
Ovidiu Furdui, Problem H-761, Advanced Problems and Solutions, The Fibonacci Quarterly, Vol. 52, No. 4 (2014), p. 374; A Series Whose Sum Involves Pi, ln 2 and zeta(3), Solution to Problem H-761 by AN-anduud Problem Solving Group, ibid., Vol. 54, No. 3 (2016), pp. 283-285.
FORMULA
Equals Sum_{n>=1} ((1/n) * (Sum_{k>=1} (-1)^(k+1)/(n+k))^2).
EXAMPLE
0.12763051594351388351849171032151833742418129365974...
MATHEMATICA
RealDigits[Pi^2*Log[2]/6 - Log[2]^3/3 - 3*Zeta[3]/4, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Jan 14 2022
STATUS
approved