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Decimal expansion of x>0 satisfying 2*x^2=sin(x).
3

%I #6 Mar 30 2012 18:57:54

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

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

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

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

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

%e x=0.480945957728129657766297856537656383385407...

%t a = 2; b = 0; c = 1;

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

%t Plot[{f[x], g[x]}, {x, -.1, 1}]

%t r = x /. FindRoot[f[x] == g[x], {x, .48, .49}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198583 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 27 2011