A238388 - OEIS

A238388

Decimal expansion of x^(1/3) * y^(2/3), where x is the constant in A103647 and y is the constant in A238387.

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

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OFFSET

0,1

COMMENTS

Occurs in a formula concerning the error in various approximations of binomial distributions. 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

Table of n, a(n) for n=0..86.

Yu. V. Prohorov, Asymptotic behavior of the binomial distribution, Uspekhi Mat. Nauk, 8:3(55) (1953), 135-142 (in Russian). See lambda p. 136.

EXAMPLE

0.31295644329257221613608878676292116801179369870970508298082007371...

MATHEMATICA

With[{x = Sqrt[2/Pi]*Exp[-1/2], y = (1 + 4*Exp[-3/2])/(3*Sqrt[2*Pi])}, RealDigits[x^(1/3)*y^(2/3), 10, 120][[1]]] (* Amiram Eldar, Mar 20 2026 *)

PROG

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

CROSSREFS

Cf. A103647, A238387.

Sequence in context: A193789 A152252 A152229 * A074308 A237186 A058142

Adjacent sequences: A238385 A238386 A238387 * A238389 A238390 A238391

KEYWORD

nonn,cons

AUTHOR

Eric M. Schmidt, Feb 26 2014

STATUS

approved