cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A092678 Decimal expansion of the probable error.

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%I A092678 #28 Feb 16 2025 08:32:52
%S A092678 6,7,4,4,8,9,7,5,0,1,9,6,0,8,1,7,4,3,2,0,2,2,2,7,0,1,4,5,4,1,3,0,7,1,
%T A092678 8,5,3,8,6,9,0,4,4,1,5,0,4,9,8,6,1,8,9,5,6,6,2,0,9,3,7,8,8,5,9,4,8,4,
%U A092678 8,6,7,9,2,8,2,4,4,3,0,9,1,0,9,5,4,4,5,0,4,4,7,4,0,1,6,7,7,8,4,5,7,3
%N A092678 Decimal expansion of the probable error.
%C A092678 0.75 percentile of the normal probability distribution function. In a bilateral sense, normally distributed random values x are equally likely to fall inside the interval (-a*sigma, +a*sigma) as to fall outside, "a" being this constant. - _Stanislav Sykora_, Nov 08 2013
%H A092678 Stanislav Sykora, <a href="/A092678/b092678.txt">Table of n, a(n) for n = 0..9999</a>
%H A092678 Stanislav Sykora, <a href="http://oeis.org/wiki/File:NormalErrorFunctions.txt">PARI/GP scripts for NormalErrorFunctions</a>.
%H A092678 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/StandardNormalDistribution.html">Standard Normal Distribution</a>
%H A092678 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ProbableError.html">Probable Error</a>
%F A092678 Equals A069286 * A002193.
%e A092678 InverseErf(1/2) * sqrt(2) = 0.674489750...
%t A092678 RealDigits[ Sqrt[2] InverseErf[1/2], 10, 111][[1]] (* _Robert G. Wilson v_, Feb 11 2015 *)
%o A092678 (PARI) See the links.
%o A092678 (PARI) solve(x=0,1,erfc(x)-1/2)*sqrt(2) \\ _Charles R Greathouse IV_, Oct 15 2015
%Y A092678 Cf. A002193, A069286.
%K A092678 nonn,cons
%O A092678 0,1
%A A092678 _Eric W. Weisstein_, Mar 03 2004