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 A336083 #25 Mar 17 2023 06:50:54
%S A336083 2,3,0,9,8,8,1,4,6,0,0,1,0,0,5,7,2,6,0,8,8,6,6,3,3,7,7,9,3,1,3,6,2,4,
%T A336083 8,4,6,1,1,1,9,9,6,4,5,8,5,8,8,3,1,0,3,7,5,4,5,3,1,5,2,9,3,1,9,2,7,1,
%U A336083 9,2,8,5,8,0,2,6,6,5,2,0,9,3,9,1,3,3
%N A336083 Decimal expansion of the arclength on the unit circle such that the corresponding chord separates the interior into segments having 3 = ratio of segment areas; see Comments.
%C A336083 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.
%C A336083 Equals the median of the probability distribution function of angles of random rotations in 3D space uniformly distributed with respect to the Haar measure, i.e., the solution x to Integral_{t=0..x} ((1 - cos(t))/Pi) dt = 1/2 (see Reynolds, 2017; cf. A086118, A361605). - _Amiram Eldar_, Mar 17 2023
%H A336083 Marc B. Reynolds, <a href="https://marc-b-reynolds.github.io/quaternions/2017/11/10/AveRandomRot.html">Volume element of SO(3) and average uniform random rotation angle</a>, 2017.
%F A336083 Equals d+Pi/2 = A003957 + A019669, where d is the Dottie number. - _Gleb Koloskov_, Feb 21 2021
%e A336083 arclength = 2.3098814600100572608866337793136248461119964...
%t A336083 k = 3; s = s /. FindRoot[(2 Pi - s + Sin[s])/(s - Sin[s]) == k, {s, 2}, WorkingPrecision -> 200]
%t A336083 RealDigits[s][[1]]
%o A336083 (PARI) d=solve(x=0,1,cos(x)-x); d+Pi/2 \\ _Gleb Koloskov_, Feb 21 2021
%Y A336083 Cf. A336073, A003957, A019669.
%Y A336083 Cf. A086118, A361605.
%K A336083 nonn,cons
%O A336083 1,1
%A A336083 _Clark Kimberling_, Jul 11 2020