OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Abel's Integral.
Eric Weisstein's World of Mathematics, Cosine Integral.
FORMULA
Equals A016655/10 - 1/4. - R. J. Mathar, Dec 13 2008
From Amiram Eldar, Sep 08 2020: (Start)
Equals Sum_{k>=1} (-1)^(k+1)/((2*k+1)^2-1).
Equals Sum_{k>=1} Ci((2*k-1)*Pi), where Ci(x) is the cosine integral.
Equals Integral_{x=1..oo} log(x)/(x+1)^3 dx. (End)
EXAMPLE
-1/4 + log(2)/2 = 0.0965735902...
MATHEMATICA
RealDigits[Log[2]/2 - 1/4, 10, 100][[1]] (* Amiram Eldar, Sep 08 2020 *)
PROG
(PARI) log(2)/2 - 1/4 \\ Charles R Greathouse IV, May 15 2019
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Dec 26 2004
STATUS
approved