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%I #5 Mar 30 2012 18:57:54
%S 2,4,0,3,9,6,0,8,0,1,4,4,3,6,5,3,9,5,9,1,3,2,3,7,1,7,6,6,1,7,0,7,7,6,
%T 9,9,7,1,7,6,5,5,9,0,7,4,4,3,4,4,0,7,7,2,0,4,5,0,5,7,3,9,4,9,4,8,4,9,
%U 9,5,4,7,4,4,1,7,0,5,1,4,0,3,0,0,5,6,3,4,8,2,9,2,2,9,5,0,0,9,4
%N Decimal expansion of x>0 having 4*x^2+3x=4*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.2403960801443653959132371766170776997176...
%t a = 4; b = 3; c = 4;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.2, .4}]
%t r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198543 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 26 2011
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