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%I #8 Jun 25 2018 22:53:30
%S 9,1,7,7,0,1,3,1,5,8,3,1,6,0,0,4,7,5,1,7,0,5,2,4,3,9,0,9,5,3,9,2,1,4,
%T 8,7,7,1,8,1,9,6,1,1,6,8,5,9,0,0,5,7,1,1,5,1,0,0,4,8,9,0,0,2,2,4,8,9,
%U 4,4,8,7,9,0,0,7,1,1,5,4,2,2,3,0,2,3,3,9,9,7,4,4,0,5,8,6,8,6,8
%N Decimal expansion of least x satisfying x^2 - 4*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="/A200101/b200101.txt">Table of n, a(n) for n = 0..10000</a>
%e least x: -0.91770131583160047517052439095392148771...
%e greatest x: 1.50407436560390845625770968131259727...
%t a = 1; b = -4; 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, -.92, -.91}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200101 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.6}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200102 *)
%o (PARI) a=1; b=-4; c=2; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ _G. C. Greubel_, Jun 25 2018
%Y Cf. A199949.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 13 2011
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