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A174551 as a simple table

na(n)
01
11
21
34
43
52
627
719
812
96
10256
11175
12110
1360
1424
153125
162101
171320
18750
19360
20120
2146656
2231031
2319502
2411340
255880
262520
27720
28823543
29543607
30341796
31201726
32109200
3352080
3420160
355040
3616777216
3711012415
386927230
394131036
402298744
411164240
42514080
43181440
4440320

[1,1,1,4,3,2,27,19,12,6,256,175,110,60,24,3125,
 2101,1320,750,360,120,46656,31031,19502,11340,
 5880,2520,720,823543,543607,341796,201726,109200,
 52080,20160,5040,16777216,11012415,6927230,
 4131036,2298744,1164240,514080,181440,40320]