OFFSET
0,1
FORMULA
Equals 1 / 2^(2*gamma + log(2)), where gamma is the Euler-Mascheroni constant A001620.
EXAMPLE
0.277858347832723878490708523330309732997337264470326508064631180586776...
MAPLE
evalf(1 / 2^(2*gamma + log(2)), 120);
MATHEMATICA
RealDigits[1 / 2^(2*EulerGamma + Log[2]), 10, 120][[1]]
PROG
(PARI) default(realprecision, 200); exp(sumpos(n=1, log(n - 1/2)/(n - 1/2) - log(n)/n))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Jul 04 2022
STATUS
approved