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

1,1

Comments

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

Links

Table of n, a(n) for n=1..104.

Example

x = 7.46360328377644613...

Mathematica

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

Prog

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

Crossrefs

Cf. A078335.

Sequence in context: A011204 A154018 A021138 * A195366 A359104 A185196

Adjacent sequences: A336760 A336761 A336762 * A336764 A336765 A336766

Keyword

nonn,cons

Author

Daniel Hoyt, Aug 03 2020

Status

approved