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A198427 Decimal expansion of x>0 having x^2-2x=sin(x). 2

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

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

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

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

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

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

%e x=2.3169342886237397915227320498874409...

%t a = 1; 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, 2.5}]

%t r = x /. FindRoot[f[x] == g[x], {x, 2.31, 2.32}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198427 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Oct 25 2011

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