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A348906 as a simple table

na(n)
10
21
34
416
564
6169
7225
8256
9676
10900
111024
122209
132704
143600
154096
165625
177921
188836
1910201
2010816
2112321
2213689
2314400
2416384
2519321
2620449
2722201
2822500
2923409
3026569
3127889
3228561
3329929
3430625
3531684
3632041
3735344
3838809
3940401
4040804
4143264
4249284
4352441

[0,1,4,16,64,169,225,256,676,900,1024,2209,2704,
 3600,4096,5625,7921,8836,10201,10816,12321,13689,
 14400,16384,19321,20449,22201,22500,23409,26569,
 27889,28561,29929,30625,31684,32041,35344,38809,
 40401,40804,43264,49284,52441]