The following calculations are for the system:

pk+1 = (3+pk**0.5)**0.5

Starting at the value p0 = 1.73205080757

Numercial Data

Time P
0 1.732051
1 2.077516
2 2.107453
3 2.109907
4 2.110107
5 2.110123
6 2.110125
7 2.110125
8 2.110125
9 2.110125
10 2.110125
11 2.110125
12 2.110125
13 2.110125
14 2.110125
15 2.110125
16 2.110125
17 2.110125
18 2.110125
19 2.110125
20 2.110125
21 2.110125
22 2.110125
23 2.110125
24 2.110125
25 2.110125
26 2.110125
27 2.110125
28 2.110125
29 2.110125
30 2.110125
31 2.110125
32 2.110125
33 2.110125
34 2.110125
35 2.110125
36 2.110125
37 2.110125
38 2.110125
39 2.110125
40 2.110125