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A361533 as a simple table

na(n)
01
10
20
31
44
520
6130
7980
88400
980920
10865200
1110164000
12130114600
131802600800
1426867640800
15428661633400
167288513232000
17131558835408000
182512282795422400
1950600743739145600
201071998968264224000
2123829055696093648000
22554524256514356128000

[1,0,0,1,4,20,130,980,8400,80920,865200,10164000,
 130114600,1802600800,26867640800,428661633400,
 7288513232000,131558835408000,2512282795422400,
 50600743739145600,1071998968264224000,
 23829055696093648000,554524256514356128000]