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%I #10 Jun 24 2018 18:34:48
%S 9,5,5,9,0,8,7,9,8,4,8,1,6,1,3,4,1,3,5,3,7,3,0,1,4,3,9,5,8,4,4,0,6,1,
%T 0,3,5,9,4,8,9,8,6,6,8,6,7,5,3,9,4,3,2,8,6,5,9,3,6,8,9,4,2,2,4,3,3,7,
%U 9,9,4,8,6,9,8,5,4,7,3,9,0,1,1,1,9,1,2,8,8,5,8,4,3,9,8,0,0,6,3
%N Decimal expansion of least x satisfying x^2 - 3*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="/A200026/b200026.txt">Table of n, a(n) for n = 0..10000</a>
%e least x: -0.9559087984816134135373014395844...
%e greatest x: 1.31448560919776196551921986761091...
%t a = 1; b = -3; c = 1;
%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, -.96, -.95}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200026 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 1.31, 1.34}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200027 *)
%o (PARI) a=1; b=-3; c=1; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ _G. C. Greubel_, Jun 24 2018
%Y Cf. A199949.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 13 2011
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