|
%I #6 Mar 30 2012 18:57:58
%S 5,8,1,1,4,8,2,2,7,2,0,3,4,1,2,1,1,1,9,8,6,7,9,7,6,7,4,6,2,0,6,4,9,6,
%T 4,4,1,8,5,6,1,6,2,0,1,6,1,1,7,0,7,3,7,6,2,0,1,5,4,7,9,9,6,6,0,2,2,5,
%U 9,3,2,1,8,0,0,7,7,5,4,2,9,9,7,1,8,6,2,4,3,7,4,6,6,1,7,1,7,6,0
%N Decimal expansion of x>0 satisfying 2*x^2+2*x*cos(x)=3*sin(x).
%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.5811482272034121119867976746206496441856...
%t a = 2; b = 2; c = 3;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199661 *)
%Y Cf. A199597.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 09 2011
|
