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A156565 as a simple table

na(n)
01
11
21
31
41
52
61
72
83
96
101
113
128
1321
1424
151
164
1715
18104
19105
20120
211
225
2324
24315
251040
263255
27720
281
296
3035
31744
325355
33125840
349765
355040
361
377
3848
391505
4019344
411826055
42880880
431240155
4440320
451
468
4763
482736
4955685
5015107664
5123738715
52962801840

[1,1,1,1,1,2,1,2,3,6,1,3,8,21,24,1,4,15,104,105,
 120,1,5,24,315,1040,3255,720,1,6,35,744,5355,
 125840,9765,5040,1,7,48,1505,19344,1826055,880880,
 1240155,40320,1,8,63,2736,55685,15107664,23738715,
 962801840]