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 A200422 #6 Feb 07 2025 16:44:07 %S A200422 1,5,0,8,9,2,9,7,7,3,7,6,0,1,7,5,5,0,2,2,5,5,5,7,2,5,4,4,9,7,6,1,8,4, %T A200422 1,8,4,3,7,0,8,6,1,5,6,4,3,7,3,1,3,8,1,8,1,3,1,5,8,5,5,1,2,0,4,3,2,2, %U A200422 7,5,8,8,8,0,3,3,0,7,1,6,5,6,1,3,5,2,5,5,5,1,2,9,9,8,6,1,5,5,0 %N A200422 Decimal expansion of least x>0 satisfying 4*x^2+4*x+1=tan(x). %C A200422 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200422 x=1.50892977376017550225557254497618418437086156437... %t A200422 a = 4; b = 4; c = 1; %t A200422 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200422 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200422 r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.51}, WorkingPrecision -> 110] %t A200422 RealDigits[r] (* A200422 *) %Y A200422 Cf. A200338. %K A200422 nonn,cons %O A200422 1,2 %A A200422 _Clark Kimberling_, Nov 18 2011