|
%I #5 Mar 30 2012 18:57:57
%S 7,5,6,3,2,1,4,3,2,0,9,5,2,5,4,7,4,4,3,7,8,7,9,7,4,2,5,2,5,0,7,5,4,2,
%T 5,4,9,5,3,9,8,0,4,4,8,3,7,6,1,6,3,1,2,5,4,6,4,8,6,0,0,5,0,0,8,1,7,4,
%U 1,7,7,2,2,0,3,0,1,6,9,9,9,8,4,2,9,2,7,4,2,5,0,0,5,3,6,1,6,6,2
%N Decimal expansion of x>0 satisfying 2*x^2+2*x*sin(x)=3*cos(x).
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.756321432095254744378797425250754254953980...
%t a = 2; b = 2; c = 3;
%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .75, .76}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199442 *)
%Y Cf. A199429.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011
|
