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 A348669 #10 Oct 29 2021 09:05:28 %S A348669 2,6,4,5,0,5,0,0,7,0,0,7,8,6,9,8,4,5,5,1,5,7,7,5,2,0,1,2,9,7,2,2,5,2, %T A348669 6,9,3,6,3,4,0,0,0,9,0,9,6,8,0,5,1,8,3,0,5,6,2,2,4,4,3,7,2,5,8,6,4,0, %U A348669 2,1,3,7,3,7,6,4,3,5,6,7,9,4,6,7,5,8,9,8,3,5,6,9,7,2,3,5,1,3,7,2,5,3,4,3,4 %N A348669 Decimal expansion of 2*sqrt(2)*log(1 + sqrt(2))/(3*Pi). %C A348669 The average length of a random line segment in a unit square defined as follows. A line that is making a random angle with a given edge of the square is chosen, and a random distance of this line from a given vertex of this edge is chosen uniformly between 0 and the distance to the opposite vertex in the square. The segment is then being chosen by picking at random two points between the two intersection points of the line with the perimeter of the square. %H A348669 Eric Rosenberg, <a href="https://doi.org/10.1016/S0167-6377(03)00072-5">The expected length of a random line segment in a rectangle</a>, Operations Research Letters, Vol. 32, No. 2 (2004), pp. 99-102. %e A348669 0.26450500700786984551577520129722526936340009096805... %p A348669 evalf(sqrt(8/9)*arcsinh(1)/Pi, 120); # _Alois P. Heinz_, Oct 29 2021 %t A348669 RealDigits[2*Sqrt[2]*Log[1 + Sqrt[2]]/(3*Pi), 10, 100][[1]] %o A348669 (PARI) 2*sqrt(2)*log(1 + sqrt(2))/(3*Pi) \\ _Michel Marcus_, Oct 29 2021 %Y A348669 Cf. A088367, A091505, A091648, A244920. %K A348669 nonn,cons %O A348669 0,1 %A A348669 _Amiram Eldar_, Oct 29 2021