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%I #10 Aug 03 2021 14:30:22
%S 3,5,9,5,3,0,4,8,6,7,1,6,1,5,4,7,9,9,1,8,7,7,6,0,6,9,3,5,0,8,3,4,1,8,
%T 7,1,4,9,1,3,1,1,1,4,3,7,7,7,5,5,2,9,3,2,5,1,8,5,5,2,2,4,8,6,9,1,2,8,
%U 2,5,3,0,1,8,4,3,4,6,3,7,8,9,3,9,0,9,9,1,7,5,8,2,7,7,2,2,7,7,3
%N Decimal expansion of greatest x satisfying x + 4*cos(x) = 0.
%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%e least: -1.25235323400258876318632812197538043590128...
%e greatest: 3.595304867161547991877606935083418714913111...
%t a = 1; b = 4; c = 0;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -2, 4}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199611, least of 4 roots *)
%t r = x /. FindRoot[f[x] == g[x], {x, 3.5, 3.6}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199612, greatest of 4 roots *)
%Y Cf. A199597, A199611.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Nov 08 2011
%E a(86) onwards corrected by _Georg Fischer_, Aug 03 2021
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