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 A200398 #6 Feb 07 2025 16:44:07 %S A200398 1,4,9,8,0,6,4,2,9,1,2,7,5,6,5,9,0,0,4,5,8,8,3,6,1,0,9,6,0,1,5,6,5,4, %T A200398 8,9,8,2,8,1,4,3,3,5,2,7,9,6,3,2,3,8,1,3,3,1,4,6,9,0,7,4,4,1,4,4,1,1, %U A200398 5,2,5,9,7,0,3,0,3,7,2,6,4,1,3,6,0,3,6,9,7,2,2,9,3,3,3,8,5,3,1 %N A200398 Decimal expansion of least x>0 satisfying 3*x^2+4*x+1=tan(x). %C A200398 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200398 x=1.498064291275659004588361096015654898281433527... %t A200398 a = 3; b = 4; c = 1; %t A200398 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200398 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200398 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110] %t A200398 RealDigits[r] (* A200398 *) %Y A200398 Cf. A200338. %K A200398 nonn,cons %O A200398 1,2 %A A200398 _Clark Kimberling_, Nov 17 2011