A333761 Decimal expansion of root of the equation LambertW(r) = 1 - r.

5, 9, 8, 9, 4, 1, 8, 6, 2, 4, 5, 8, 4, 5, 2, 9, 6, 4, 3, 4, 9, 3, 7, 4, 6, 2, 4, 9, 9, 3, 5, 4, 3, 3, 7, 0, 9, 0, 4, 3, 9, 3, 0, 1, 3, 4, 9, 5, 4, 0, 2, 2, 2, 3, 6, 3, 0, 4, 0, 3, 5, 0, 7, 9, 2, 2, 1, 3, 0, 3, 6, 0, 0, 4, 5, 4, 2, 0, 3, 0, 0, 0, 4, 6, 6, 7, 4, 1, 8, 2, 8, 7, 0, 9, 1, 3, 7, 2, 3, 2, 5, 5, 5, 6, 9, 0

Offset: 0

Author

Vaclav Kotesovec, Jun 09 2020

Keywords

• nonn
• cons

Examples

			0.59894186245845296434937462499354337090439301349540222363040350792213...
		

Links

• Eric Weisstein's World of Mathematics, Lambert W-Function.
• Wikipedia, Lambert W function.

Crossrefs

Cf. A030178, A334242.

Programs

Mathematica

RealDigits[r/.FindRoot[LambertW[r] == 1 - r, {r, 1/2}, WorkingPrecision->150], 10, 120][[1]]

PARI

solve(x=0, 1, 1-x-lambertw(x)) \\ Michel Marcus, Jun 09 2020