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.

A200585 Decimal expansion of least x>0 satisfying 2*x^2-4*x+3=tan(x).

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%I A200585 #6 Feb 07 2025 16:44:07
%S A200585 8,1,7,5,8,9,2,3,9,1,0,3,2,7,8,4,3,9,4,4,7,9,0,3,1,6,0,5,4,5,1,5,0,6,
%T A200585 7,9,4,0,7,1,7,4,9,3,5,1,1,6,6,2,1,2,1,5,3,0,6,6,6,5,2,9,7,2,7,3,4,9,
%U A200585 1,9,6,6,3,5,3,3,1,2,7,6,1,5,9,4,5,4,1,0,2,9,1,8,3,5,5,2,7,3,6
%N A200585 Decimal expansion of least x>0 satisfying 2*x^2-4*x+3=tan(x).
%C A200585 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200585 x=0.8175892391032784394479031605451506794071749...
%t A200585 a = 2; b = -4; c = 3;
%t A200585 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200585 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200585 r = x /. FindRoot[f[x] == g[x], {x, .8, .9}, WorkingPrecision -> 110]
%t A200585 RealDigits[r]    (* A200585 *)
%Y A200585 Cf. A200338.
%K A200585 nonn,cons
%O A200585 0,1
%A A200585 _Clark Kimberling_, Nov 19 2011