OFFSET
1,2
COMMENTS
Limit_{n->oo} Product_{k=1..n} Gamma(k/n)^(1/n) = sqrt(2*Pi).
FORMULA
EXAMPLE
1.23456019539799897381741853007827189474437277093956302475669920823457...
MATHEMATICA
RealDigits[(2*Pi)^(1/4)/Glaisher, 10, 120][[1]]
Exp[Integrate[x*Log[Gamma[x]], {x, 0, 1}]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Dec 02 2023
STATUS
approved