A092678 - OEIS

A092678

Decimal expansion of the probable error.

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

0.75 percentile of the normal probability distribution function. In a bilateral sense, normally distributed random values x are equally likely to fall inside the interval (-a*sigma, +a*sigma) as to fall outside, "a" being this constant. - Stanislav Sykora, Nov 08 2013

LINKS

Stanislav Sykora, Table of n, a(n) for n = 0..9999

Stanislav Sykora, PARI/GP scripts for NormalErrorFunctions.

Eric Weisstein's World of Mathematics, Standard Normal Distribution

Eric Weisstein's World of Mathematics, Probable Error

FORMULA

Equals A069286 * A002193.

EXAMPLE

InverseErf(1/2) * sqrt(2) = 0.674489750...

MATHEMATICA

RealDigits[ Sqrt[2] InverseErf[1/2], 10, 111][[1]] (* Robert G. Wilson v, Feb 11 2015 *)

PROG