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 A200366 #6 Feb 07 2025 16:44:06 %S A200366 1,4,6,8,2,3,5,9,2,7,5,2,7,7,5,3,2,5,6,6,3,4,3,7,2,4,8,9,0,7,8,3,8,4, %T A200366 1,0,0,4,4,2,4,2,8,7,4,9,5,6,4,3,8,6,1,5,1,9,9,5,1,1,1,2,9,6,9,6,3,8, %U A200366 8,5,7,9,5,6,2,2,0,1,6,9,2,1,1,6,6,3,7,5,2,3,1,6,7,9,5,4,7,9,3 %N A200366 Decimal expansion of least x>0 satisfying 2*x^2+3*x+1=tan(x). %C A200366 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200366 x=1.46823592752775325663437248907838410044242... %t A200366 a = 2; b = 3; c = 1; %t A200366 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200366 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200366 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110] %t A200366 RealDigits[r] (* A200366 *) %Y A200366 Cf. A200338. %K A200366 nonn,cons %O A200366 1,2 %A A200366 _Clark Kimberling_, Nov 17 2011