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A345461 as a simple table

na(n)
11
22
31
46
51
61
724
86
91
101
11120
1238
137
141
151
16720
17232
1853
197
201
211
225040
231607
24404
2574
267
271
281
2940320
3012984
313383
32732
33108
347
351
361
37362880
38117513
3931572
407043
411292
42167
439
441
451
463628800
471182540
48324112
4975350
5014522
512384
52260
5311
541
551

[1,2,1,6,1,1,24,6,1,1,120,38,7,1,1,720,232,53,7,1,
 1,5040,1607,404,74,7,1,1,40320,12984,3383,732,108,
 7,1,1,362880,117513,31572,7043,1292,167,9,1,1,
 3628800,1182540,324112,75350,14522,2384,260,11,1,
 1]