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.
%I A363876 #14 Sep 03 2023 10:19:33
%S A363876 9,1,6,8,1,6,9,2,3,3,8,2,1,6,8,2,4,8,1,7,5,4,6,2,5,3,8,5,7,2,3,7,0,4,
%T A363876 0,4,5,6,7,3,5,3,2,9,4,9,9,3,7,3,6,2,4,4,3,3,7,8,4,0,1,6,6,5,1,9,8,9,
%U A363876 0,1,3,8,4,8,1,5,9,1,0,1,0,3,4,9,0,0,0,4
%N A363876 Decimal expansion of the geometric mean of the isoperimetric quotient of ellipses when expressed in terms of their eccentricity.
%C A363876 The isoperimetric quotient of a curve is defined as Q = (4*Pi*A)/p^2, where A and p are the area and the perimeter of that curve respectively.
%C A363876 The isoperimetric quotient of an ellipse depends only on its eccentricity e in accordance to the formula Q = (Pi^2*sqrt(1-e^2))/(4*E(e)^2), where E() is the complete elliptic integral of the second kind.
%H A363876 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IsoperimetricQuotient.html">Isoperimetric Quotient</a>
%H A363876 Wikipedia, <a href="https://en.m.wikipedia.org/wiki/Elliptic_integral">Elliptic integral</a>
%F A363876 Equals ((Pi^2)/2) * exp(-1-2*Integral_{x=0..1} log(E(x)) dx).
%e A363876 0.916816923382168248...
%t A363876 First[RealDigits[Pi^2/2*Exp[-1 - 2*NIntegrate[Log[EllipticE[x^2]], {x, 0, 1}, WorkingPrecision -> 100]]]]
%Y A363876 Cf. A102753, A363848, A363874.
%K A363876 nonn,cons
%O A363876 0,1
%A A363876 _Tian Vlasic_, Jun 25 2023