|
%I #5 Mar 30 2012 18:57:57
%S 1,0,1,2,0,9,2,7,3,8,8,7,2,2,8,9,4,3,4,0,7,4,6,5,4,2,6,8,7,2,4,3,6,8,
%T 8,1,7,3,5,1,2,9,8,6,4,9,6,2,2,0,0,1,0,3,0,3,5,6,2,5,9,1,0,5,4,6,4,8,
%U 4,0,6,6,2,0,0,5,4,2,3,2,6,8,8,3,6,1,6,4,6,3,4,4,6,7,8,3,0,8,2
%N Decimal expansion of x<0 satisfying 3*x^2+2*x*cos(x)=2.
%C See A199170 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -1.01209273887228943407465426872436881...
%e positive: 0.584532490790406304533696640011179337...
%t a = 3; b = 2; c = 2;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -1.1, -1}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199287 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199288 *)
%Y Cf. A199170.
%K nonn,cons
%O 1,4
%A _Clark Kimberling_, Nov 05 2011
|
