A234473 Decimal expansion of exp(exp(1)-1).

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

Offset: 1

Author

Richard R. Forberg, Dec 26 2013

Keywords

• nonn
• cons

Comments

Derived from an infinite sum of the Bell numbers (see formula below).

May also be written as exp(exp(1))/exp(1) = e^e/e.

Examples

			5.5749415247608806239669759227404843057060930975947002119298237838570...
		

Links

• Michael Ian Shamos, Shamos's catalog of the real numbers, (2011).

Crossrefs

Cf. A000110, A001113 (e), A073226 (e^e), A274169.

Programs

Mathematica

RealDigits[Exp[E-1], 10, 100][[1]] (* Amiram Eldar, Dec 04 2021 *)

PARI

exp(exp(1)-1)

Formula

Equals Sum_{n>=0} Bell(n)/n!, where Bell(n) = A000110(n).

Equals Product_{k=1..oo} exp(1/k!). - Christoph B. Kassir, Dec 04 2021