A364966 Decimal expansion of the solution to exp(-x^2) = x.

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

Table of n, a(n) for n=0..104.

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

Cf. A196515, A202498, A299624.

Sequence in context: A370113 A266998 A021609 * A140684 A245632 A356983

Adjacent sequences: A364963 A364964 A364965 * A364967 A364968 A364969

Keyword

nonn,cons

Author

Michal Paulovic, Aug 14 2023

Status

approved