cp's OEIS Frontend

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.

A200419 Decimal expansion of least x>0 satisfying 4*x^2+3*x+2=tan(x).

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%I A200419 #6 Feb 07 2025 16:44:07
%S A200419 1,5,0,6,7,8,9,6,5,1,9,2,9,9,8,8,3,9,2,9,9,5,4,6,8,4,5,4,0,2,1,3,0,4,
%T A200419 2,0,6,7,7,1,7,4,6,9,6,8,8,3,0,9,3,7,2,7,0,9,8,4,6,0,3,1,5,9,7,4,1,0,
%U A200419 3,2,2,2,8,5,4,0,0,3,6,3,4,9,8,5,7,7,6,7,2,7,4,0,0,0,5,0,3,7,0
%N A200419 Decimal expansion of least x>0 satisfying 4*x^2+3*x+2=tan(x).
%C A200419 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200419 x=1.506789651929988392995468454021304206771746968830...
%t A200419 a = 4; b = 3; c = 2;
%t A200419 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200419 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200419 r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.51}, WorkingPrecision -> 110]
%t A200419 RealDigits[r]   (* A200419 *)
%Y A200419 Cf. A200338.
%K A200419 nonn,cons
%O A200419 1,2
%A A200419 _Clark Kimberling_, Nov 18 2011