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 A200478 #6 Feb 07 2025 16:44:07 %S A200478 1,1,3,6,3,1,1,5,7,7,5,0,5,6,6,5,7,0,2,3,1,0,8,5,5,2,8,6,1,7,8,4,4,3, %T A200478 8,6,4,5,8,5,6,0,5,6,8,7,8,4,5,0,2,7,6,6,3,7,3,7,3,2,8,5,9,0,7,0,6,0, %U A200478 3,8,2,9,5,9,0,4,2,3,2,5,0,6,8,3,4,1,1,5,9,6,8,5,3,0,1,3,6,5,2 %N A200478 Decimal expansion of least x>0 satisfying x^2-x+2=tan(x). %C A200478 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200478 x=1.136311577505665702310855286178443864585605... %t A200478 a = 1; b = -1; c = 2; %t A200478 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200478 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200478 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110] %t A200478 RealDigits[r] (* A200478 *) %Y A200478 Cf. A200338. %K A200478 nonn,cons %O A200478 1,3 %A A200478 _Clark Kimberling_, Nov 18 2011