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A156953 as a simple table

na(n)
01
11
21
31
41
52
61
71
83
96
101
111
124
1363
1424
151
161
175
18208
1919845
20120
211
221
236
24525
25432640
26193786425
27720
281
291
307
311116
324685625
33108886835200
34119216439727875
355040
361
371
388
392107
4032381856
4114260348265625
429975288480661504000
439314352420075537699375
4440320

[1,1,1,1,1,2,1,1,3,6,1,1,4,63,24,1,1,5,208,19845,
 120,1,1,6,525,432640,193786425,720,1,1,7,1116,
 4685625,108886835200,119216439727875,5040,1,1,8,
 2107,32381856,14260348265625,9975288480661504000,
 9314352420075537699375,40320]