A238387 Decimal expansion of (1 + 4*e^(-3/2))/(3*sqrt(2*Pi)).

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

Offset

0,1

Comments

Occurs in a formula estimating the error in approximating a binomial distribution with a normal distribution. See [Prohorov].

References

Yu. V. Prohorov, Asymptotic behavior of the binomial distribution. 1961. Select. Transl. Math. Statist. and Probability, Vol. 1 pp. 87-95. Inst. Math. Statist. and Amer. Math. Soc., Providence, R.I.

Links

G. C. Greubel, Table of n, a(n) for n = 0..2500 [a(2500) corrected by Georg Fischer, Jun 23 2020]

Yu. V. Prohorov, Asymptotic behavior of the binomial distribution, Uspekhi Mat. Nauk, 8:3(55) (1953), 135-142 (in Russian). See lambda2 in theorem 3 p. 137.

Example

0.25166883335507952210292348310539606239875418040734266550892142061...

Mathematica

RealDigits[N[(1 + 4*Exp[-3/2])/(3*Sqrt[2*Pi]), 1001]] (* G. C. Greubel, Jan 26 2016 *)

Prog

(PARI) (1 + 4*exp(-3/2))/(3*sqrt(2*Pi)) \\ Michel Marcus, Feb 27 2014

Crossrefs

Cf. A103647, A238388.

Sequence in context: A093952 A308882 A079614 * A084245 A174232 A065224

Adjacent sequences: A238384 A238385 A238386 * A238388 A238389 A238390

Keyword

nonn,cons

Author

Eric M. Schmidt, Feb 26 2014

Status

approved