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 A200419 #6 Feb 07 2025 16:44:07 %S A200419 1,5,0,6,7,8,9,6,5,1,9,2,9,9,8,8,3,9,2,9,9,5,4,6,8,4,5,4,0,2,1,3,0,4, %T A200419 2,0,6,7,7,1,7,4,6,9,6,8,8,3,0,9,3,7,2,7,0,9,8,4,6,0,3,1,5,9,7,4,1,0, %U A200419 3,2,2,2,8,5,4,0,0,3,6,3,4,9,8,5,7,7,6,7,2,7,4,0,0,0,5,0,3,7,0 %N A200419 Decimal expansion of least x>0 satisfying 4*x^2+3*x+2=tan(x). %C A200419 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200419 x=1.506789651929988392995468454021304206771746968830... %t A200419 a = 4; b = 3; c = 2; %t A200419 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200419 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200419 r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.51}, WorkingPrecision -> 110] %t A200419 RealDigits[r] (* A200419 *) %Y A200419 Cf. A200338. %K A200419 nonn,cons %O A200419 1,2 %A A200419 _Clark Kimberling_, Nov 18 2011