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 A200418 #6 Feb 07 2025 16:44:07 %S A200418 1,5,0,2,0,8,7,8,5,1,4,9,1,0,8,1,7,6,6,0,8,7,7,4,9,9,1,4,8,0,8,2,0,3, %T A200418 0,6,4,3,7,5,6,8,0,6,4,2,3,6,3,0,6,5,9,3,2,7,7,3,5,3,0,1,0,2,4,9,4,6, %U A200418 1,5,0,5,3,1,2,4,6,9,1,3,2,7,8,4,4,8,3,6,6,4,7,4,9,5,3,3,5,3,2 %N A200418 Decimal expansion of least x>0 satisfying 4*x^2+3*x+1=tan(x). %C A200418 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200418 x=1.50208785149108176608774991480820306437568064236... %t A200418 a = 4; b = 3; c = 1; %t A200418 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200418 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200418 r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.51}, WorkingPrecision -> 110] %t A200418 RealDigits[r] (* A200418 *) %Y A200418 Cf. A200338. %K A200418 nonn,cons %O A200418 1,2 %A A200418 _Clark Kimberling_, Nov 18 2011