A387102 Decimal expansion of the largest real solution to e^x = x^3.

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

Offset: 1

Author

Stefano Spezia, Aug 16 2025

Keywords

• nonn
• cons
• new

Comments

Equivalently, the largest real solution to log(x) = x/3.

Examples

			4.5364036549735274216902190342161161138109511554...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A030178, A126583, A126584, A366565, A387101 (smallest).

Programs

Mathematica

RealDigits[-3*ProductLog[-1,-1/3],10,100][[1]]

Formula

Equals -3*LambertW(-1, -1/3).