OFFSET
1,2
LINKS
Amrik Singh Nimbran, Sums of series involving central binomial coefficients and harmonic numbers, The Mathematics Student, Vol. 88, No. 1-2 (2019), pp. 125-135; arXiv preprint, arXiv:1806.03998 [math.NT], 2018-2019.
FORMULA
Equals 4*G - Pi*log(2), where G is Catalan's constant (A006752).
Equals Integral_{-Pi/2 .. Pi/2} log(1+cos(x)) dx. - Philippe Deléham , Jan 12 2024
EXAMPLE
1.48627628640527392971772516149192249575801379675740...
MATHEMATICA
RealDigits[4*Catalan - Pi*Log[2], 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Oct 22 2021
STATUS
approved