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.

A199184 Decimal expansion of least x satisfying x^2+3*x*cos(x)=2.

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%I A199184 #8 Feb 07 2025 16:44:05
%S A199184 1,5,0,9,3,3,9,0,6,2,4,6,6,6,8,8,1,2,3,4,5,1,2,5,2,6,4,1,7,9,2,1,9,0,
%T A199184 2,9,3,1,3,5,1,6,4,6,6,5,1,7,1,9,2,6,5,2,8,1,2,4,9,8,7,7,9,1,9,8,7,3,
%U A199184 9,5,1,1,6,8,3,1,7,7,2,1,7,8,5,5,1,2,9,3,6,1,0,0,6,4,5,1,9,4,3
%N A199184 Decimal expansion of least x satisfying x^2+3*x*cos(x)=2.
%C A199184 See A199170 for a guide to related sequences. The Mathematica program includes a graph.
%H A199184 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199184 least: -1.5093390624666881234512526417921902931351...
%e A199184 greatest: 3.44428460990495541079195552785381251956...
%t A199184 a = 1; b = 3; c = 2;
%t A199184 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
%t A199184 Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}]
%t A199184 r = x /. FindRoot[f[x] == g[x], {x, -1.6, -1.5}, WorkingPrecision -> 110]
%t A199184 RealDigits[r]  (* A199184 least of four roots *)
%t A199184 r = x /. FindRoot[f[x] == g[x], {x, 3.44, 3.45}, WorkingPrecision -> 110]
%t A199184 RealDigits[r]  (* A199185 greatest of four roots *)
%Y A199184 Cf. A199170.
%K A199184 nonn,cons
%O A199184 1,2
%A A199184 _Clark Kimberling_, Nov 04 2011