A235214 Decimal expansion of exp(exp(1) + 1).

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

Offset

2,1

Comments

May also be written as e*(e^e).

Links

Table of n, a(n) for n=2..106.

Ovidiu Furdui, Solution to problem 91.H, Mathematical Gazette 92(523), 2008, pp. 174-175.

Formula

Equals Sum_{n>=0} A005493(n)/n!.

Equals 2*lim_{n->oo} n*(exp(Sum_{k=0..n} 1/k!) - ((1+1/n)^n)^e). See the Mathematical Gazette link. - Michel Marcus, Oct 24 2017

Equals Sum_{k>=1} e^k/(k-1)!. - Amiram Eldar, Jul 28 2020

Example

41.19355567471612356318828...

Mathematica

RealDigits[E^(E + 1), 10, 100][[1]] (* Alonso del Arte, Jan 05 2014 *)

Prog

(PARI) exp(exp(1)+1) \\ Charles R Greathouse IV, Jan 14 2014

Crossrefs

Cf. A005493, A234473 (e^e/e), A073226 (e^e), A001113 (e).

Cf. A061354, A061355.

Sequence in context: A346877 A231987 A376784 * A208606 A136100 A244811

Adjacent sequences: A235211 A235212 A235213 * A235215 A235216 A235217

Keyword

nonn,cons

Author

Richard R. Forberg, Jan 04 2014

Extensions

More terms from Rick L. Shepherd, Jan 25 2014

Status

approved