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 A200389 #8 Feb 07 2025 16:44:07 %S A200389 1,4,8,0,6,0,2,5,1,2,4,7,4,4,7,4,3,9,5,5,9,4,6,4,6,8,9,4,4,0,7,1,0,1, %T A200389 3,1,2,4,5,6,9,9,2,0,1,2,2,3,9,5,5,9,6,4,5,9,2,6,9,8,4,5,0,6,0,6,5,4, %U A200389 7,9,4,2,3,7,8,7,8,9,9,9,1,5,4,4,4,0,2,1,3,9,8,8,0,9,7,2,3,8,2,7,6 %N A200389 Decimal expansion of least x>0 satisfying 3*x^2+x+3=tan(x). %C A200389 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200389 x=1.48060251247447439559464689440710131245699201... %t A200389 a = 3; b = 1; c = 3; %t A200389 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200389 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200389 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110] %t A200389 RealDigits[r] (* A200389 *) %Y A200389 Cf. A200338. %K A200389 nonn,cons %O A200389 1,2 %A A200389 _Clark Kimberling_, Nov 17 2011