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 A200350 #6 Feb 07 2025 16:44:06 %S A200350 1,4,3,5,9,2,8,9,0,2,3,3,8,6,4,1,2,9,9,0,3,2,0,3,2,4,4,8,3,2,2,1,4,2, %T A200350 5,7,2,2,7,2,1,7,1,9,3,6,9,9,6,8,5,8,1,8,7,0,3,5,0,7,5,4,2,2,8,7,5,0, %U A200350 8,2,0,8,2,4,6,0,9,8,1,5,0,1,0,4,2,1,0,4,5,9,8,2,1,7,3,3,2,6,1 %N A200350 Decimal expansion of least x>0 satisfying x^2+3x+1=tan(x). %C A200350 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200350 x=1.4359289023386412990320324483221425722721719... %t A200350 a = 1; b = 3; c = 1; %t A200350 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200350 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200350 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110] %t A200350 RealDigits[r] (* A200350 *) %Y A200350 Cf. A200338. %K A200350 nonn,cons %O A200350 1,2 %A A200350 _Clark Kimberling_, Nov 16 2011