A396879 Decimal expansion of (e-1)/e + exp(1/(e-1)).

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

Offset

1,1

Comments

The expected number of real numbers that are independently and uniformly selected at random from the interval (1, e) until their product exceeds e (Vandervelde, 2008).

Links

Table of n, a(n) for n=1..105.

Jesse Geneson, Asymptotic bounds on renewal process stopping times, arXiv:1605.00277 [math.PR], 2016.

Sam Vandervelde, Expected value road trip, The Mathematical Intelligencer, Vol. 30 (2008), pp. 17-18.

Example

2.421692955670391129461763012624068439761649477921928...

Mathematica

RealDigits[(E - 1) / E + Exp[1/(E-1)], 10, 120][[1]]

Prog

(PARI) my(e = exp(1)); 1 - 1/e + exp(1/(e-1))

Crossrefs

Cf. A001113.

Sequence in context: A105791 A116515 A303118 * A037178 A352650 A364038

Adjacent sequences: A396876 A396877 A396878 * A396880 A396881 A396882

Keyword

nonn,cons

Author

Amiram Eldar, Jun 09 2026

Status

approved