Printing only integer values for some equation using MATHEMATICA.

[76Ahmad]

Hello every one, I need help on some mathematica run program.

Suppose the following:

1) 2=<t=<1000
2) r=3+2Sqrt[2]
3) k=(r^t+r^(-t)-20)/4
4) n=2k+4
5) x=n/2-(r^t-r^(-t))/2Sqrt[2]

I need to run the program For[t=2,t=<1000,t++
and only print if it found any integer values of (k,n,x)

please help, thanks

 

[Bill Simpson]

r = 3 + 2Sqrt[2];
For[t = 2, t <= 1000, t++,
k = (r^t + r^(-t) - 20)/4;
If[IntegerQ[k], Print["k=", k]];
n = 2k + 4;
If[IntegerQ[n], Print["n=", n]];
x = n/2 - (r^t - r^(-t))/2Sqrt[2];
If[IntegerQ[x], Print["x=", x]];
]

And this prints nothing because every value has high powers of 3+2 Sqrt[2]