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 A200590 #6 Feb 07 2025 16:44:07 %S A200590 1,3,6,8,8,0,9,1,8,9,5,8,6,2,9,4,1,4,3,7,5,7,8,7,5,5,6,4,9,2,1,5,2,3, %T A200590 3,7,8,8,4,6,3,3,4,4,7,0,5,0,3,9,1,1,1,9,4,2,1,8,3,6,8,0,7,3,8,8,9,2, %U A200590 8,3,9,2,0,5,0,0,8,9,9,3,4,3,1,3,4,6,6,2,4,0,4,6,2,7,1,8,4,2,5 %N A200590 Decimal expansion of least x>0 satisfying 3*x^2-2*x+2=tan(x). %C A200590 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200590 x=1.368809189586294143757875564921523378846334470... %t A200590 a = 3; b = -2; c = 2; %t A200590 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200590 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200590 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110] %t A200590 RealDigits[r] (* A200590 *) %Y A200590 Cf. A200338. %K A200590 nonn,cons %O A200590 1,2 %A A200590 _Clark Kimberling_, Nov 19 2011