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A355190 as a simple table

na(n)
01
11
21
32
43
55
69
718
835
972
10160
11350
12770
131848
144455
1510920
1627648
1770720
18185895
19496125
201344000
213706560
2210395840
2329568000
2485299200
25249356800
26738840960
272216522880
286730407936
2920678434920
3064253314125
31201847852800
32640813814784
332055410286592
346658705461408
3521780889600000

[1,1,1,2,3,5,9,18,35,72,160,350,770,1848,4455,
 10920,27648,70720,185895,496125,1344000,3706560,
 10395840,29568000,85299200,249356800,738840960,
 2216522880,6730407936,20678434920,64253314125,
 201847852800,640813814784,2055410286592,
 6658705461408,21780889600000]