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.

A200493 Decimal expansion of least x>0 satisfying 2*x^2-x+1=tan(x).

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%I A200493 #6 Feb 07 2025 16:44:07
%S A200493 1,2,2,5,1,1,8,4,0,4,9,0,9,9,7,7,2,0,4,2,0,6,0,6,4,4,3,2,8,8,6,9,5,7,
%T A200493 7,6,6,2,2,5,2,6,6,8,6,3,4,4,6,4,3,9,0,1,0,8,6,0,1,8,6,6,8,2,4,7,8,0,
%U A200493 9,8,7,9,6,0,6,9,4,2,7,0,3,1,2,9,7,5,6,7,2,6,7,1,9,9,5,8,8,6,0
%N A200493 Decimal expansion of least x>0 satisfying 2*x^2-x+1=tan(x).
%C A200493 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200493 x=1.22511840490997720420606443288695776622...
%t A200493 a = 2; b = -1; c = 1;
%t A200493 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200493 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200493 r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
%t A200493 RealDigits[r]    (* A200493 *)
%Y A200493 Cf. A200338.
%K A200493 nonn,cons
%O A200493 1,2
%A A200493 _Clark Kimberling_, Nov 18 2011