|
%I #5 Mar 30 2012 18:57:57
%S 1,0,5,1,1,1,0,2,2,8,8,4,3,7,2,8,0,1,1,4,2,5,7,1,1,4,5,8,1,1,9,4,1,9,
%T 6,8,5,1,2,4,5,1,6,6,6,3,2,2,4,9,7,1,6,7,3,6,5,4,6,3,1,8,0,3,4,1,2,6,
%U 0,5,5,7,2,6,6,1,2,0,3,1,6,1,5,6,7,4,6,9,3,5,3,2,0,3,9,3,1,8,4
%N Decimal expansion of x>0 satisfying 3*x^2-2*x*sin(x)=3*cos(x).
%C See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.05111022884372801142571145811941968512...
%t a = 3; 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, 1.05, 1.06}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199510 *)
%Y Cf. A199429.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Nov 07 2011
|
