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A038257 as a simple table

na(n)
01
16
23
336
436
59
6216
7324
8162
927
101296
112592
121944
13648
1481
157776
1619440
1719440
189720
192430
20243
2146656
22139968
23174960
24116640
2543740
268748
27729
28279936
29979776
301469664
311224720
32612360
33183708
3430618
352187
361679616

[1,6,3,36,36,9,216,324,162,27,1296,2592,1944,648,
 81,7776,19440,19440,9720,2430,243,46656,139968,
 174960,116640,43740,8748,729,279936,979776,
 1469664,1224720,612360,183708,30618,2187,1679616]