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%I #5 Mar 30 2012 18:57:56
%S 3,9,5,8,0,9,2,3,4,4,6,9,1,3,7,8,3,7,5,8,2,5,4,7,9,9,4,3,4,0,5,2,1,8,
%T 9,2,5,2,3,5,7,9,4,8,7,5,1,2,6,5,5,7,7,0,9,3,7,9,1,5,1,6,5,3,6,3,6,5,
%U 2,8,5,8,6,7,4,8,6,5,4,0,4,5,7,4,0,3,0,5,1,1,4,2,7,0,4,0,3,1,9
%N Decimal expansion of greatest x satisfying x^2+3*sin(x)=-1.
%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%e least: -1.39840306895670428191362107010033086...
%e greatest: -0.3958092344691378375825479943405218925...
%t a = 1; b = 3; c = -1;
%t f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -1.4, -1.3}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199052 *)
%t r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199053 *)
%Y Cf. A198866.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 02 2011
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