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A364966
Decimal expansion of the solution to exp(-x^2) = x.
0
6, 5, 2, 9, 1, 8, 6, 4, 0, 4, 1, 9, 2, 0, 4, 7, 1, 5, 5, 3, 5, 0, 8, 0, 7, 6, 7, 3, 5, 3, 1, 9, 6, 3, 6, 9, 9, 2, 0, 1, 1, 6, 8, 8, 1, 1, 0, 2, 9, 9, 7, 7, 3, 0, 6, 2, 4, 9, 2, 1, 4, 9, 4, 0, 7, 5, 0, 4, 7, 2, 7, 6, 1, 9, 8, 0, 3, 8, 9, 2, 5, 5, 1, 1, 8, 2, 2, 5, 7, 1, 6, 0, 6, 8, 0, 5, 5, 9, 6, 8, 6, 8, 8, 8, 5
OFFSET
0,1
COMMENTS
Fixed point of Gaussian function.
LINKS
Eric Weisstein's World of Mathematics, Gaussian Function.
Eric Weisstein's World of Mathematics, Lambert W-Function.
Wikipedia, Gaussian function.
Wikipedia, Lambert W function.
FORMULA
Equals sqrt(LambertW(2)/2).
Equals sqrt(A196515/2).
Equals sqrt(A202498).
Equals sqrt(A299624)/2.
EXAMPLE
0.6529186404192047...
MAPLE
Digits:=105: evalf(sqrt(LambertW(2)/2));
MATHEMATICA
RealDigits[Sqrt[ProductLog[2]/2], 10, 105][[1]]
PROG
(PARI) default(realprecision, 105); sqrt(lambertw(2)/2)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Michal Paulovic, Aug 14 2023
STATUS
approved