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 A242780 #14 Feb 16 2025 08:33:22 %S A242780 7,0,4,4,7,9,8,8,1,0,4,3,1,8,1,4,9,9,9,5,5,3,5,1,5,6,5,6,3,8,2,9,4,3, %T A242780 8,6,5,2,8,9,5,3,5,7,3,8,7,2,6,1,4,2,3,2,5,3,3,6,4,0,3,2,3,6,4,1,9,9, %U A242780 5,0,6,3,8,6,0,1,4,6,6,2,9,8,5,8,9,7,2,9,5,1,0,5,0,2,6,9,6,4,0,2,9,3,6 %N A242780 Decimal expansion of the maximum probability that the convex hull of four points, chosen at random inside a convex planar region, is a quadrilateral (Sylvester's four-point problem). %C A242780 It is proved that this maximum probability is achieved when the region is an ellipse (or a disk). [after Steven Finch] %D A242780 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.18, p. 533. %H A242780 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/SylvestersFour-PointProblem.html">Sylvester's Four-Point Problem</a>. %F A242780 Equals 1 - 35/(12*Pi^2). %e A242780 0.70447988104318149995535... %t A242780 RealDigits[1 - 35/(12*Pi^2), 10, 103] // First %o A242780 (PARI) 1 - 35/(12*Pi^2) \\ _Stefano Spezia_, Dec 26 2024 %Y A242780 Cf. A004677, A004824, A004936, A005017, A051050, A051051. %K A242780 nonn,cons %O A242780 0,1 %A A242780 _Jean-François Alcover_, May 22 2014