|
%I #5 Mar 30 2012 18:57:56
%S 1,9,1,4,0,2,0,6,1,9,0,2,5,9,8,5,3,9,1,1,9,3,9,6,3,8,3,0,1,7,1,0,9,8,
%T 0,4,2,9,3,7,9,5,9,9,7,3,2,8,1,0,6,5,5,8,5,5,0,8,5,5,4,0,9,1,0,8,0,6,
%U 4,2,8,4,8,6,2,2,4,4,5,0,3,0,8,1,9,9,2,9,7,0,5,4,9,7,0,8,0,1,3
%N Decimal expansion of x>0 satisfying x^2-cos(x)=4.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.91402061902598539119396383017109804293795997...
%t a = 1; b = -1; c = 4;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /.
%t FindRoot[f[x] == g[x], {x, 1.9, 1.92}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198819 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 30 2011
|
