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 A200393 #6 Feb 07 2025 16:44:07 %S A200393 1,4,9,1,9,8,3,5,2,0,9,2,6,4,9,5,2,3,9,3,0,6,6,1,7,2,0,7,4,1,3,3,6,7, %T A200393 5,3,7,2,1,9,0,8,9,6,9,5,5,4,8,4,2,2,9,8,5,9,6,5,8,7,4,2,9,1,5,2,9,0, %U A200393 5,6,2,3,2,1,7,1,2,2,6,9,2,2,9,7,8,0,3,4,6,3,9,7,5,1,4,5,8,0,3 %N A200393 Decimal expansion of least x>0 satisfying 3*x^2+2*x+3=tan(x). %C A200393 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200393 x=1.4919835209264952393066172074133675372190896955... %t A200393 a = 3; b = 2; c = 3; %t A200393 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200393 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200393 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110] %t A200393 RealDigits[r] (* A200393 *) %Y A200393 Cf. A200338. %K A200393 nonn,cons %O A200393 1,2 %A A200393 _Clark Kimberling_, Nov 17 2011