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Decimal expansion of x>0 having 2*x^2-2x=sin(x).
1

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

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

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

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

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

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

%e x=1.3595865299458294872436848587306971185...

%t a = 2; b = -2; c = 1;

%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -.2, 2}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198558 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 26 2011