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A099286 Decimal expansion of the error function at 1. 6

%I #13 Jul 22 2020 02:22:36

%S 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,

%T 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,

%U 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

%N Decimal expansion of the error function at 1.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Erf.html">Erf</a>

%F Equals 1-A099287.

%F Equals (1/e) Sum_{n >= 0} (1/(n/2)!) - 1. - _Jean-François Alcover_, Jun 14 2020

%F From _Amiram Eldar_, Jul 22 2020: (Start)

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

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

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

%e 0.84270079294971486934122063508260925929606699796630290845993789783...

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

%o (PARI) 1 - erfc(1)

%Y Cf. A007680, A099287.

%K cons,nonn

%O 0,1

%A _Robert G. Wilson v_, Oct 08 2004

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Last modified April 18 06:08 EDT 2024. Contains 371767 sequences. (Running on oeis4.)