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 A201320 #10 Jan 30 2025 15:57:42 %S A201320 9,3,3,0,2,7,6,7,4,6,6,6,1,7,7,2,5,5,9,0,6,8,7,9,1,3,5,6,1,3,0,5,1,0, %T A201320 6,5,4,1,1,9,0,4,1,2,7,1,1,1,3,6,0,9,4,0,9,5,0,9,0,2,0,6,6,2,6,0,2,2, %U A201320 1,7,4,7,3,3,3,4,1,4,5,0,0,9,1,1,2,2,1,6,8,9,6,9,7,3,6,3,0,7,2 %N A201320 Decimal expansion of x satisfying 2*x^2 - 1 = cot(x) and 0 < x < Pi. %C A201320 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %H A201320 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201320 0.93302767466617725590687913561305106... %t A201320 a = 2; c = -1; %t A201320 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201320 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}] %t A201320 r = x /. FindRoot[f[x] == g[x], {x, .9, 1.0}, WorkingPrecision -> 110] %t A201320 RealDigits[r] (* A201320 *) %Y A201320 Cf. A201280. %K A201320 nonn,cons %O A201320 0,1 %A A201320 _Clark Kimberling_, Nov 30 2011