OFFSET
0,1
FORMULA
Equals 1/(1+LambertW(exp(-1))).
EXAMPLE
0.78218829428019990122029707592674478018190840396629951687...
MAPLE
evalf(solve(r*log(r/(1-r))=1), 100)
MATHEMATICA
RealDigits[r/.FindRoot[r*Log[r/(1-r)]==1, {r, 3/4}, WorkingPrecision->250], 10, 200][[1]]
RealDigits[1/(1+LambertW[E^(-1)]), 10, 200][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Jul 15 2014
STATUS
approved