OFFSET
0,1
COMMENTS
Let f(k) = sum_(n=2..infinity) (-1)^n*zeta(n)/n^k, then Euler gamma is f(1) and this constant is f(2).
LINKS
Eric Weisstein's MathWorld, Euler-Mascheroni Constant
EXAMPLE
0.32034114251279383627256109321177871875321147987620323852089693133571334868...
MATHEMATICA
RealDigits[ EulerGamma + Integrate[ LogGamma[x+1]/x, {x, 0, 1}] // N[#, 100]&, 10, 100] // First
PROG
(PARI) sumalt(k=2, (-1)^k*zeta(k)/k^2) \\ Vaclav Kotesovec, Sep 23 2023
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Nov 04 2013
STATUS
approved