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 A200414 #6 Feb 07 2025 16:44:07 %S A200414 1,4,9,6,6,1,6,7,4,7,9,9,1,5,7,4,2,6,8,6,6,0,2,8,1,5,2,6,8,6,1,3,9,0, %T A200414 7,0,3,2,0,0,3,2,3,5,1,8,6,6,2,3,6,8,9,0,0,0,8,0,9,1,4,4,1,1,6,3,8,0, %U A200414 4,3,8,2,0,1,4,0,1,1,3,3,5,9,2,7,2,8,0,0,2,2,2,3,3,5,2,4,6,9,2 %N A200414 Decimal expansion of least x>0 satisfying 4*x^2+x+3=tan(x). %C A200414 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200414 x=1.4966167479915742686602815268613907032003235186... %t A200414 a = 4; b = 1; c = 3; %t A200414 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200414 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200414 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110] %t A200414 RealDigits[r] (* A200414 *) %Y A200414 Cf. A200338. %K A200414 nonn,cons %O A200414 1,2 %A A200414 _Clark Kimberling_, Nov 18 2011