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 A200477 #7 Feb 07 2025 16:44:07 %S A200477 6,5,9,6,0,6,2,2,6,9,1,3,3,5,3,9,0,4,4,3,4,8,1,9,3,9,2,7,7,3,3,5,5,8, %T A200477 5,0,5,7,5,1,0,3,4,0,5,2,0,2,9,6,0,9,8,1,4,6,9,4,6,0,6,6,3,9,7,5,9,1, %U A200477 8,4,6,4,7,4,1,9,3,8,5,8,9,9,9,8,0,3,8,7,2,0,5,7,1,1,9,9,0,9,1 %N A200477 Decimal expansion of least x>0 satisfying x^2-x+1=tan(x). %C A200477 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200477 x=0.659606226913353904434819392773355850... %t A200477 a = 1; b = -1; c = 1; %t A200477 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200477 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200477 r = x /. FindRoot[f[x] == g[x], {x, 1.51, 1.52}, WorkingPrecision -> 110] %t A200477 RealDigits[r] (* A200477 *) %Y A200477 Cf. A200338. %K A200477 nonn,cons %O A200477 0,1 %A A200477 _Clark Kimberling_, Nov 18 2011