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.

A200487 Decimal expansion of least x>0 satisfying x^2-3x+3=tan(x).

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%I A200487 #6 Feb 07 2025 16:44:07
%S A200487 8,5,9,4,6,0,9,4,1,0,0,6,0,2,7,0,7,4,0,8,1,4,4,7,6,4,1,6,1,4,2,2,2,6,
%T A200487 1,0,6,2,0,1,7,2,4,2,2,7,9,3,8,2,1,7,6,9,7,6,3,6,1,0,9,7,5,7,5,3,6,5,
%U A200487 4,5,9,2,2,8,6,3,6,0,3,0,1,1,7,4,6,8,9,1,0,7,0,1,8,0,7,6,6,2,1
%N A200487 Decimal expansion of least x>0 satisfying x^2-3x+3=tan(x).
%C A200487 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200487 x=0.859460941006027074081447641614222610620...
%t A200487 a = 1; b = -3; c = 3;
%t A200487 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200487 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200487 r = x /. FindRoot[f[x] == g[x], {x, .85, .86}, WorkingPrecision -> 110]
%t A200487 RealDigits[r]   (* A200487 *)
%Y A200487 Cf. A200338.
%K A200487 nonn,cons
%O A200487 0,1
%A A200487 _Clark Kimberling_, Nov 18 2011