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 A332629 #12 Jul 06 2020 21:36:56 %S A332629 2,0,0,3,4,9,7,1,1,1,6,2,7,3,5,2,4,7,8,5,6,9,9,0,2,7,5,2,4,2,0,2,3,9, %T A332629 1,3,0,8,2,1,1,4,2,7,9,5,2,3,2,0,9,4,2,1,7,9,9,9,7,0,5,2,7,2,2,8,7,7, %U A332629 3,9,1,5,3,7,8,9,9,7,1,5,0,7,6,0,7 %N A332629 Decimal expansion of arclength between (0,1) and (1,e) on y = e^x. %F A332629 arclength = sqrt(1 + e^2) - sqrt(2) + arctanh(sqrt(2)) - arctanh(sqrt(1+e^2)). %e A332629 arclength = 2.003497111627352478569902752420239130821142795232094... %t A332629 s = Integrate[Sqrt[1 + E^(2 x)], {x, 0, 1}] %t A332629 r = N[s, 200] %t A332629 RealDigits[r][[1]] %Y A332629 Cf. A333202, A332630, A332631. %K A332629 nonn,cons,easy %O A332629 1,1 %A A332629 _Clark Kimberling_, Jun 12 2020