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 A336080 #10 Mar 06 2021 01:59:28 %S A336080 4,7,6,0,6,7,7,0,7,3,3,9,6,2,4,5,6,8,4,0,3,7,4,8,9,8,3,1,5,3,9,3,1,6, %T A336080 3,5,9,4,8,1,2,3,4,6,2,1,0,6,8,4,9,2,3,5,7,6,3,7,4,9,0,2,3,1,4,4,4,7, %U A336080 2,0,5,3,3,8,3,1,8,3,3,0,8,8,8,5,8,9 %N A336080 Decimal expansion of the ratio of segment areas for arclength 2 on the unit circle; see Comments. %C A336080 Suppose that s in (0,Pi) is the length of an arc of the unit circle. The associated chord separates the interior into two segments. Let A1 be the area of the larger and A2 the area of the smaller. The term "ratio of segment areas" means A1/A2. See A336073 for a guide to related sequences. %F A336080 ratio = (2*Pi - s + sin(s))/(s - sin(s)), where s = 2. %e A336080 ratio = 4.760677073396245684037489831539316359481234621068492... %t A336080 s = 2; r = N[(2 Pi - s + Sin[s])/(s - Sin[s]), 200] %t A336080 RealDigits[r][[1]] %Y A336080 Cf. A336073. %K A336080 nonn,cons %O A336080 1,1 %A A336080 _Clark Kimberling_, Jul 11 2020