A336763 Decimal expansion of largest real root of e^x = Gamma(x).

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

Offset: 1

Author

Daniel Hoyt, Aug 03 2020

Keywords

• nonn
• cons

Comments

This number corresponds to the point where the Gamma function starts to exceed the exponential function.

Examples

			x = 7.46360328377644613...
		

Crossrefs

Cf. A078335.

Programs

Mathematica

RealDigits[x /. FindRoot[Exp[x] == Gamma[x], {x, 7}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Jun 11 2023 *)

PARI

solve(x=7.4, 7.5, exp(x)-gamma(x))