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 A201293 #10 Jan 30 2025 16:03:09 %S A201293 3,8,7,4,6,7,6,2,2,7,2,7,7,7,5,3,3,3,8,3,1,1,8,8,7,7,6,4,0,1,8,8,1,2, %T A201293 7,0,4,8,4,0,1,3,6,7,8,4,3,2,5,2,9,1,2,1,7,8,9,3,7,9,7,8,1,8,2,0,8,9, %U A201293 0,2,4,0,1,1,0,8,9,8,0,2,8,2,9,7,1,5,4,2,9,9,7,4,0,8,6,2,4,0,9 %N A201293 Decimal expansion of x satisfying 3*x^2 + 2 = cot(x) and 0 < x < Pi. %C A201293 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %H A201293 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201293 0.387467622727775333831188776401881270... %t A201293 a = 3; c = 2; %t A201293 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201293 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}] %t A201293 r = x /. FindRoot[f[x] == g[x], {x, .3, .4}, WorkingPrecision -> 110] %t A201293 RealDigits[r] (* A201293 *) %Y A201293 Cf. A201280. %K A201293 nonn,cons %O A201293 0,1 %A A201293 _Clark Kimberling_, Nov 29 2011