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Decimal expansion of x>0 having x^2-4x=4*sin(x).
2

%I #5 Mar 30 2012 18:57:54

%S 3,5,5,1,3,1,5,4,5,6,0,0,1,2,4,3,7,1,0,2,4,7,4,5,6,6,3,1,9,6,2,5,4,3,

%T 4,7,6,9,6,0,3,5,8,1,4,9,8,0,6,5,4,1,4,3,1,5,7,0,1,7,3,6,5,0,4,5,9,7,

%U 3,0,4,8,6,7,1,5,3,6,3,7,9,8,3,6,7,9,7,3,3,0,2,7,5,9,3,4,6,9,8

%N Decimal expansion of x>0 having x^2-4x=4*sin(x).

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=3.55131545600124371024745663196254347696...

%t a = 1; b = -4; 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, 3.55, 3.56}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198492 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Oct 25 2011