A110894 - OEIS

%I #20 Dec 01 2023 15:48:57

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

%T 2,5,0,5,6,4,4,7,5,5,2,5,9,6,6,4,3,1,3,2,0,3,2,6,6,7,9,9,9,7,3,9,0,4,

%U 7,4,1,9,2,9,4

%N Decimal expansion of error function of square root of 2.

%H G. C. Greubel, <a href="/A110894/b110894.txt">Table of n, a(n) for n = 0..5000</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/68-95-99.7_rule">68-95-99.7 rule</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Normal_distribution">Normal distribution</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Standard_deviation">Standard deviation</a>

%F Equals erf(sqrt(2)).

%e 0.9544997...

%p erf(sqrt(2.0)) ; # _R. J. Mathar_, Mar 07 2016

%t RealDigits[Erf[Sqrt[2]], 10, 50][[1]] (* _G. C. Greubel_, Oct 19 2017 *)

%Y Cf. A178647 (1sigma), A270712 (3sigma).

%K easy,nonn,cons

%O 0,1

%A _Joost de Winter_, Sep 20 2005