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%I #9 Jul 01 2018 08:34:21
%S 3,2,3,1,1,4,3,3,3,8,8,6,2,2,6,2,8,4,5,3,5,6,3,7,0,4,9,2,3,1,1,7,1,4,
%T 9,1,1,9,9,1,6,3,6,2,8,8,2,6,6,1,5,9,4,3,8,5,8,7,5,7,8,7,3,5,7,6,5,0,
%U 5,3,8,8,8,6,0,1,7,1,0,9,8,2,8,0,4,8,2,3,7,4,7,7,2,7,6,2,7,0,6
%N Decimal expansion of least x satisfying 3*x^2 - cos(x) = 2*sin(x), negated.
%C See A199949 for a guide to related sequences. The Mathematica program includes a graph.
%H G. C. Greubel, <a href="/A200223/b200223.txt">Table of n, a(n) for n = 0..10000</a>
%e least x: -0.3231143338862262845356370492311714...
%e greatest x: 0.84890518832952236173456381626613...
%t a = 3; b = -1; c = 2;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -.33, -.32}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200223 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .84, .85}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200224 *)
%o (PARI) a=3; b=-1; c=2; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ _G. C. Greubel_, Jun 30 2018
%Y Cf. A199949.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 14 2011
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