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A137216 as a simple table

na(n)
01
11
21
32
42
53
66
79
822
941
1024
1164
12266
13708
141486
15120
16625
174536
1817457
1948088
20108129
21720
227776
23100392
24563088
252043864
265709120
2713399176
285040
29117649
302739472
3122516209
32107972560
33375217945
341053757584
352544404617
3640320
372097152
3889020752
391076444064
406831882992
4129566405440
4299420254352
43279663595232
44688833593904

[1,1,1,2,2,3,6,9,22,41,24,64,266,708,1486,120,625,
 4536,17457,48088,108129,720,7776,100392,563088,
 2043864,5709120,13399176,5040,117649,2739472,
 22516209,107972560,375217945,1053757584,
 2544404617,40320,2097152,89020752,1076444064,
 6831882992,29566405440,99420254352,279663595232,
 688833593904]