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%I #5 Mar 30 2012 18:57:54
%S 1,3,1,4,5,1,8,9,3,5,6,6,2,9,1,3,3,7,8,5,6,2,0,3,2,7,2,2,8,9,9,0,1,3,
%T 0,4,7,0,8,6,4,8,6,6,8,7,6,7,2,6,3,8,2,3,5,9,7,7,7,0,5,1,9,4,0,4,4,7,
%U 9,7,0,5,4,6,6,8,5,4,2,3,9,8,3,0,2,8,9,9,7,5,3,0,6,2,5,5,0,2,6
%N Decimal expansion of x>0 having 3*x^2-x=4*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.314518935662913378562032722899013047086486...
%t a = 3; b = -1; c = 4;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.1, 1.5}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.13, 1.14}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198553 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 26 2011