First numbers that belong to both sets:
361,
2401,
39601,
81225,
130321,
143641,
207025,
308025,
546121,
731025,
1147041,
2030625,
2223081,
3052009,
3493161,
3996001,
6245001,
8910225,
10042561,
10621081,
12355225,
16232841,
20025625,
20151121,
20421361,
20711601,
21206025,
22934521,
24512401,
30195025,
30239001,
32319225,
32364721,
34234201,
34445161,
35462025,
42003361,
44609041,
45630025,
53363025,
56085121,
64240225,
70375321,
72131049,
80192025,
84621601,
90611361.