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A355294 as a simple table

na(n)
01
11
23
314
488
5670
66170
766360
8815640
911272800
10173132400
112925014400
1253909394000
131076365290000
1423144112591600
15533193460800000
1613102608591072000
17342105146182800000
189457689380931792000
19275988880808825184000
208477631163592791200000
21273430368958004818560000
229238944655686318693120000

[1,1,3,14,88,670,6170,66360,815640,11272800,
 173132400,2925014400,53909394000,1076365290000,
 23144112591600,533193460800000,13102608591072000,
 342105146182800000,9457689380931792000,
 275988880808825184000,8477631163592791200000,
 273430368958004818560000,
 9238944655686318693120000]