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 A201291 #10 Jan 30 2025 16:02:25 %S A201291 3,0,4,2,1,6,5,4,8,8,1,1,0,0,8,6,7,8,2,1,0,7,5,6,9,6,3,3,0,1,3,9,7,8, %T A201291 2,6,7,2,6,1,3,0,8,9,8,1,6,7,7,5,6,9,8,4,1,2,4,0,5,7,0,6,8,0,3,1,8,4, %U A201291 0,7,9,3,8,5,8,9,5,5,7,5,0,7,3,1,6,0,9,1,8,6,6,9,7,8,1,2,9,2,8 %N A201291 Decimal expansion of x satisfying 2*x^2 + 3 = cot(x) and 0 < x < Pi. %C A201291 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %H A201291 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201291 0.304216548811008678210756963301397826726130... %t A201291 a = 2; c = 3; %t A201291 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201291 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}] %t A201291 r = x /. FindRoot[f[x] == g[x], {x, .3, .4}, WorkingPrecision -> 110] %t A201291 RealDigits[r] (* A201291 *) %Y A201291 Cf. A201280. %K A201291 nonn,cons %O A201291 0,1 %A A201291 _Clark Kimberling_, Nov 29 2011