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 A355186 #6 Jun 23 2022 13:49:35 %S A355186 5,6,1,0,9,9,8,5,2,3,3,9,1,8,0,1,2,7,1,3,5,7,1,9,5,8,8,9,3,5,2,3,9,6, %T A355186 9,2,8,0,8,8,7,2,4,2,4,6,2,8,0,9,9,9,2,5,8,9,9,5,5,9,3,1,2,6,7,0,5,5, %U A355186 5,8,5,5,7,8,8,0,5,6,3,6,3,0,5,3,9,4,5,3,8,8,1,1,6,0,7,0,0,8,2,9,2,3,0,2,7 %N A355186 Decimal expansion of 2*log(sqrt(2)+1)/Pi. %C A355186 The average distance between the center of a unit square to a point on its perimeter uniformly chosen by a random direction from the center. %C A355186 If the point is uniformly chosen at random on the perimeter, then the average is (sqrt(2) + arcsinh(1))/4 (A345653). %H A355186 Mark Dalthorp, <a href="http://www.jstor.org/stable/10.4169/math.mag.87.1.61">Escape the Square</a>, Mathematics Magazine, Vol. 87, No. 1 (2014), p. 68. %F A355186 Equals arcsinh(1)/arcsin(1). %F A355186 Equals A060294 * A091648 = A091648 / A019669. %e A355186 0.56109985233918012713571958893523969280887242462809... %t A355186 RealDigits[2*ArcSinh[1]/Pi, 10, 100][[1]] %Y A355186 Cf. A019669, A060294, A091648, A345653. %K A355186 nonn,cons %O A355186 0,1 %A A355186 _Amiram Eldar_, Jun 23 2022