OFFSET
1,1
COMMENTS
It is known that Sum_{k >= 0} Sum_{i = 1..h} (-1)^i*i/(i*k + 1) diverges for h = 3. This is the case h = 4, A016627 corresponds to the case h = 2.
FORMULA
Equals (3 - sqrt(3))*Pi/6 + log(32) - log(27)/2.
EXAMPLE
2.48171411447534970392757531472576785936281641070833471570388837547057328...
MATHEMATICA
RealDigits[(3 - Sqrt[3]) Pi/6 + Log[32] - Log[27]/2, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Bruno Berselli, Mar 03 2017
STATUS
approved