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

Author

R. J. Mathar, Mar 22 2016

Keywords

• nonn
• cons

Examples

			0.997300203936739810946696370...
		

Links

• Wikipedia, 68-95-99.7 rule
• Wikipedia, Normal distribution

Crossrefs

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

Programs

Maple

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

Mathematica

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

PARI

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