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 A200415 #6 Feb 07 2025 16:44:07 %S A200415 1,5,0,2,0,6,6,8,7,6,3,2,6,6,0,9,2,5,5,1,5,1,6,4,8,8,1,7,3,5,4,6,9,7, %T A200415 6,3,0,8,7,5,0,0,3,9,7,4,6,0,8,4,4,8,8,3,4,9,5,4,1,4,7,7,4,1,5,1,3,3, %U A200415 0,3,5,5,7,8,6,1,3,0,7,8,7,4,5,8,9,4,1,4,0,7,7,8,1,8,7,7,0,8,4 %N A200415 Decimal expansion of least x>0 satisfying 4*x^2+x+4=tan(x). %C A200415 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200415 x=1.5020668763266092551516488173546976308750039746... %t A200415 a = 4; b = 1; c = 4; %t A200415 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200415 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200415 r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.51}, WorkingPrecision -> 110] %t A200415 RealDigits[r] (* A200415 *) %Y A200415 Cf. A200338. %K A200415 nonn,cons %O A200415 1,2 %A A200415 _Clark Kimberling_, Nov 18 2011