cp's OEIS Frontend

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.

A336082 Decimal expansion of the arclength on the unit circle such that the corresponding chord separates the interior into segments having 2 = ratio of segment areas; see Comments.

This page as a plain text file.
%I A336082 #10 Mar 06 2021 02:22:52
%S A336082 2,6,0,5,3,2,5,6,7,4,6,0,0,9,0,2,6,8,5,7,0,0,1,9,4,3,1,5,4,1,2,9,7,5,
%T A336082 8,0,1,4,4,1,0,2,2,9,7,8,1,5,7,4,8,7,6,0,5,1,7,7,1,3,5,0,8,1,6,6,4,7,
%U A336082 4,0,5,8,2,8,6,6,0,0,0,6,6,8,9,1,9,9
%N A336082 Decimal expansion of the arclength on the unit circle such that the corresponding chord separates the interior into segments having 2 = ratio of segment areas; see Comments.
%C A336082 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.
%e A336082 arclength = 2.605325674600902685700194315412975801441...
%t A336082 k = 2; s = s /. FindRoot[(2 Pi - s + Sin[s])/(s - Sin[s]) == k, {s, 2}, WorkingPrecision -> 200]
%t A336082 RealDigits[s][[1]]
%Y A336082 Cf. A336073.
%K A336082 nonn,cons
%O A336082 1,1
%A A336082 _Clark Kimberling_, Jul 11 2020