A325905 Decimal expansion of 2/e^2.

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

Offset

0,1

Comments

Decimal expansion of the asymptotic (n -> inf) probability of success in the secretary problem when the number of applicants is uniformly distributed on {1, 2, ..., n}. It means that less is known than in the basic secretary problem, so this constant is less than A068985 (and also A246665).

Links

Table of n, a(n) for n=0..74.

E. L. Presman and I. M. Sonin, The best choice problem for a random number of objects, Teor. Veroyatnost. i Primenen., 17:4 (1972), 695-706; English version, Theory Probab. Appl., 17:4 (1973), 657-668.

Eric Weisstein's MathWorld, Sultan's Dowry Problem

Wikipedia, Secretary problem

Example

0.2706705664732253837879989899...

Mathematica

N[2/E^2, 100] // RealDigits // First

Crossrefs

Equals twice A092553.

Cf. A068985, A246665.

Sequence in context: A343049 A098198 A021791 * A372386 A199273 A196833

Adjacent sequences: A325902 A325903 A325904 * A325906 A325907 A325908

Keyword

nonn,cons

Author

José María Grau Ribas, Sep 08 2019

Status

approved