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%I #5 Mar 30 2012 18:57:57
%S 1,0,3,4,5,0,2,6,9,1,7,7,7,3,8,2,7,3,4,5,2,1,7,6,7,9,0,0,8,8,5,1,3,1,
%T 0,5,8,1,1,0,1,9,0,5,2,6,6,5,5,7,0,4,4,8,7,4,1,2,7,1,1,3,0,7,8,5,5,0,
%U 2,0,5,6,4,3,9,9,6,9,8,5,2,2,9,6,7,5,3,0,1,0,6,4,9,3,9,0,8,4,4
%N Decimal expansion of x>0 satisfying 2*x^2+sin(x)=3.
%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -1.411987310232303288873063579688459791640...
%e positive: 1.03450269177738273452176790088513105811...
%t a = 2; b = 1; c = 3;
%t f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -1.5, -1.4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199065 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 1.03, 1.04}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199066 *)
%Y Cf. A198866.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Nov 02 2011
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