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A223516 as a simple table

na(n)
11
214
31
4378
542
61
715120
82100
984
101
11801360
12128520
136720
14140
151
1652889760
179412200
18585480
1916380
20210
211
224178291040
23805865760
2456836080
251928640
2633810
27294
281
29384402775680
3079123806720
316148457280
32240056880
335174400
3462328
35392
361

[1,14,1,378,42,1,15120,2100,84,1,801360,128520,
 6720,140,1,52889760,9412200,585480,16380,210,1,
 4178291040,805865760,56836080,1928640,33810,294,1,
 384402775680,79123806720,6148457280,240056880,
 5174400,62328,392,1]