A290506 Decimal expansion of 1 - 1/e^(1/2).

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

Offset

0,1

Comments

The amount of time that a customer has to wait for his order at some restaurant is a random variable having an exponential distribution with a mean of x minutes. The probability that the waiting time will be x/2 minutes or less is 1 - 1/e^(1/2).

Links

Table of n, a(n) for n=0..104.

Formula

Equals Integral_{x = 0..1/2} exp(-x) dx.

From Amiram Eldar, Aug 24 2020: (Start)

Equals Sum_{k>=1) (-1)^(k+1)/(2^k * k!).

Equals 1 - A092605. (End)

Example

0.3934693402873665763962004650088195465580818645128130443171078412649434...

Mathematica

RealDigits[N[1 - 1/E^(1/2), 105]][[1]]

Prog

(Magma) SetDefaultRealField(RealField(105)); n:=1-Exp(-1)^(1/2); Reverse(Intseq(Floor(10^105*n)));
(PARI) 1-exp(-1)^(1/2)

Crossrefs

Cf. A092605.

Sequence in context: A091670 A201416 A072560 * A303111 A299633 A074959

Adjacent sequences: A290503 A290504 A290505 * A290507 A290508 A290509

Keyword

nonn,cons

Author

Arkadiusz Wesolowski, Aug 04 2017

Status

approved