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A238387
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Decimal expansion of (1 + 4*e^(-3/2))/(3*sqrt(2*Pi)).
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2
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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
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OFFSET
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0,1
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COMMENTS
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Occurs in a formula estimating the error in approximating a binomial distribution with a normal distribution. See [Prohorov].
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REFERENCES
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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.
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LINKS
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EXAMPLE
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0.25166883335507952210292348310539606239875418040734266550892142061...
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MATHEMATICA
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RealDigits[N[(1 + 4*Exp[-3/2])/(3*Sqrt[2*Pi]), 1001]] (* G. C. Greubel, Jan 26 2016 *)
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PROG
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(PARI) (1 + 4*exp(-3/2))/(3*sqrt(2*Pi)) \\ Michel Marcus, Feb 27 2014
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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