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%I A198614 #5 Mar 30 2012 18:57:55
%S A198614 3,1,6,7,0,0,4,3,8,1,8,0,9,2,6,2,5,6,0,4,3,8,5,2,4,0,0,0,8,7,9,7,6,8,
%T A198614 1,6,7,8,5,1,3,8,6,8,4,6,9,6,8,8,9,6,0,7,0,9,5,9,9,4,4,2,8,5,6,7,1,2,
%U A198614 6,9,7,6,8,6,3,0,5,3,9,1,7,2,2,4,1,2,3,8,7,9,7,4,6,9,8,6,7,9,3
%N A198614 Decimal expansion of x>0 satisfying 3*x^2+2x=3*sin(x).
%C A198614 See A198414 for a guide to related sequences.  The Mathematica program includes a graph.
%e A198614 x=0.3167004381809262560438524000879768167851...
%t A198614 a = 3; b = 2; c = 3;
%t A198614 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198614 Plot[{f[x], g[x]}, {x, -.1, .4}]
%t A198614 r = x /. FindRoot[f[x] == g[x], {x, .31, .32}, WorkingPrecision -> 110]
%t A198614 RealDigits[r](* A198614 *)
%Y A198614 Cf. A198414.
%K A198614 nonn,cons
%O A198614 0,1
%A A198614 _Clark Kimberling_, Oct 28 2011

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