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.

A200587 Decimal expansion of least x>0 satisfying 3*x^2-x+3=tan(x).

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%I A200587 #6 Feb 07 2025 16:44:07
%S A200587 1,4,4,3,3,9,6,3,5,7,5,0,5,4,8,4,4,2,5,0,0,5,6,8,8,1,4,7,9,5,2,5,1,6,
%T A200587 6,1,1,1,7,7,5,5,3,9,1,2,4,6,1,6,6,5,7,3,7,2,8,2,4,5,4,8,3,8,3,1,4,1,
%U A200587 5,3,2,3,4,4,3,5,3,5,6,1,8,0,4,2,0,3,2,2,4,3,9,6,7,6,0,9,8,2,9
%N A200587 Decimal expansion of least x>0 satisfying 3*x^2-x+3=tan(x).
%C A200587 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200587 x=1.4433963575054844250056881479525166111775539...
%t A200587 a = 3; b = -1; c = 3;
%t A200587 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200587 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200587 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200587 RealDigits[r]   (* A200587 *)
%Y A200587 Cf. A200338.
%K A200587 nonn,cons
%O A200587 1,2
%A A200587 _Clark Kimberling_, Nov 19 2011