%I #8 Jun 22 2018 07:57:39
%S 5,0,8,0,6,6,6,8,3,7,0,1,8,6,8,1,3,4,6,5,3,0,5,9,4,8,4,2,0,3,5,0,9,8,
%T 2,1,8,9,4,8,2,6,2,6,7,3,3,4,2,3,8,3,3,0,9,1,6,6,9,1,7,6,3,5,0,8,2,6,
%U 5,1,1,8,0,2,3,3,0,6,1,7,3,4,6,3,9,0,2,2,0,8,5,4,5,9,6,4,8,7,0
%N Decimal expansion of least x satisfying 3*x^2-2*cos(x)=2*sin(x).
%C See A199949 for a guide to related sequences. The Mathematica program includes a graph.
%H G. C. Greubel, <a href="/A200231/b200231.txt">Table of n, a(n) for n = 0..10000</a>
%e least x: -0.508066683701868134653059484203509821...
%e greatest x: 0.9632913766196791046556418296641642...
%t a = 3; b = -2; c = 2;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -.51, -.50}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200231 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .96, .97}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200232 *)
%o (PARI) a=3; b=-2; c=2; solve(x=-.51, -.50, a*x^2 + b*cos(x) - c*sin(x)) \\ _G. C. Greubel_, Jun 22 2018
%Y Cf. A199949.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 14 2011