A270712 Decimal expansion of the fraction of the normal distribution that falls within the 3 sigma error bars.

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

Offset

0,1

Links

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

Wikipedia, 68-95-99.7 rule

Wikipedia, Normal distribution

Example

0.997300203936739810946696370...

Maple

erf(3/sqrt(2)) ; evalf(%) ;

Mathematica

RealDigits[Erf[3/Sqrt[2]], 10, 120][[1]] (* Amiram Eldar, May 24 2023 *)

Prog

(PARI) 1 - erfc(3/sqrt(2)) \\ Michel Marcus, Mar 22 2016

Crossrefs

Cf. A178647 (1sigma), A110894 (2sigma).

Sequence in context: A217695 A197390 A298520 * A277587 A372828 A201570

Adjacent sequences: A270709 A270710 A270711 * A270713 A270714 A270715

Keyword

nonn,cons

Author

R. J. Mathar, Mar 22 2016

Status

approved