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%I #9 Jul 09 2018 19:45:24
%S 5,4,5,5,9,7,3,8,8,4,8,1,4,7,5,7,3,9,5,0,4,2,1,4,8,8,4,7,8,5,7,7,0,8,
%T 2,9,5,6,7,1,6,1,0,9,4,3,0,5,0,7,0,8,5,7,7,6,2,5,1,5,3,7,5,2,4,9,3,9,
%U 3,1,6,9,6,6,6,8,7,1,7,6,5,7,1,8,2,1,1,6,7,3,3,3,3,5,7,9,4,4,5
%N Decimal expansion of least x satisfying 4*x^2 - 2*cos(x) = sin(x), negated.
%C See A199949 for a guide to related sequences. The Mathematica program includes a graph.
%H G. C. Greubel, <a href="/A200293/b200293.txt">Table of n, a(n) for n = 0..10000</a>
%e least x: -0.5455973884814757395042148847857...
%e greatest x: 0.73397262794028961433450505600...
%t a = 4; b = -2; c = 1;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -.55, -.54}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200293 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .73, .74}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200294 *)
%o (PARI) a=4; b=-2; c=1; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ _G. C. Greubel_, Jul 08 2018
%Y Cf. A199949.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 15 2011
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