For n = 1, the knight becomes trapped at square 2084 (see A316667). The following table gives the corresponding values for n = 1 through 35:
.
 Square at which  Number of steps
 the knight is  before the
n  trapped  knight is trapped
++
2  124561  244273
3  1756923  4737265
4  21375782  98374180
5  48176535  258063291
6  128322490  836943142
7  196727321  1531051657
8  230310289  1897092533
9  606217402  5253106114
10  2856313870  27296872250
11  244655558  2772304666
12  659075420  8437814958
13  586292888  7875951360
14  1646774611  24511621133
15  1018215514  15493169264
16  719687377  11643899003
17  564513339  9593491769
18  2779028614  49835086546
19  298995630  5734502340
20  1641747842  33370972720
21  414061107  8844741817
22  1467655587  32843399937
23  584309414  13583967470
24  1584716050  37945957450
25  2544445470  62083869640
26  4796115990  125967045044
27  1881606731  51291895045
28  1321212795  37635024035
29  6693611092  196994700434
30  687619472  19985943874
31  1495794139  45392651369
32  6677258413  213836002227
33  6451059544  219770103702
34  7958333435  277128625469
35  13924943879  485324576539
