A099286 Decimal expansion of the error function at 1.

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

Offset: 0

Author

Robert G. Wilson v, Oct 08 2004

Keywords

• cons
• nonn

Examples

			0.84270079294971486934122063508260925929606699796630290845993789783...
		

Links

• Eric Weisstein's World of Mathematics, Erf

Crossrefs

Cf. A007680, A099287, A351400.

Programs

Mathematica

RealDigits[ Erf[1], 10, 105][[1]]

PARI

1 - erfc(1)

Formula

Equals 1-A099287.

Equals (1/e) Sum_{n >= 0} (1/(n/2)!) - 1. - Jean-François Alcover, Jun 14 2020

From Amiram Eldar, Jul 22 2020: (Start)

Equals (2/sqrt(Pi)) * Integral_{x=0..1} exp(-x^2) dx.

Equals (2/sqrt(Pi)) * Sum_{k>=0} (-1)^k/(k! * (2*k + 1)) = (2/sqrt(Pi)) * Sum_{k>=0} (-1)^k/A007680(k).

Equals (1/e) * Sum_{k>=1} 1/Gamma(k + 1/2). (End)