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%I #5 Mar 30 2012 18:57:54
%S 1,5,6,1,5,1,0,9,9,1,0,7,4,2,6,9,1,2,1,8,7,3,6,8,3,2,0,7,3,7,6,9,5,2,
%T 3,2,9,2,1,5,3,4,1,6,4,4,9,4,0,3,0,7,9,1,6,9,4,8,1,2,6,9,6,6,1,9,2,4,
%U 0,2,3,0,2,1,1,8,4,8,1,0,8,5,4,8,5,7,0,4,9,4,0,4,8,4,2,0,6,7,5
%N Decimal expansion of x>0 having x^2+x=4*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.561510991074269121873683207376952329215...
%t a = 1; 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, 2}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.56, 1.57}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198419 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 24 2011
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