login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A092678 Decimal expansion of the probable error. 1
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

Sqrt(2) InverseErf(1/2) = 0.674489750...

MATHEMATICA

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

PROG

(PARI) See the links.

(PARI) solve(x=0, 1, erfc(x)-1/2)*sqrt(2) \\ Charles R Greathouse IV, Oct 15 2015

CROSSREFS

Cf. A002193, A069286.

Sequence in context: A242670 A196761 A195776 * A019932 A004447 A258989

Adjacent sequences:  A092675 A092676 A092677 * A092679 A092680 A092681

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Mar 03 2004

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified June 25 18:15 EDT 2017. Contains 288729 sequences.