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A374098 as a simple table

na(n)
01
11
24
31
416
59
664
725
8256
9121
101024
11441
124096
131849
1416384
157225
1665536
1729241
18262144
19116281
201048576
21466489
224194304
231863225
2416777216
257458361
2667108864
2729822521
28268435456
29119311929
301073741824
31477204025
324294967296
331908903481
3417179869184

[1,1,4,1,16,9,64,25,256,121,1024,441,4096,1849,
 16384,7225,65536,29241,262144,116281,1048576,
 466489,4194304,1863225,16777216,7458361,67108864,
 29822521,268435456,119311929,1073741824,477204025,
 4294967296,1908903481,17179869184]