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A222159 as a simple table

na(n)
11
22
31
46
53
61
724
821
94
101
11120
12277
1356
145
151
16720
176322
182132
19126
206
211
225040
23215659
24207262
2512521
26252
277
281
2940320
3010218797
3138778082
324907711
3360344
34462
358
361
37362880
38636984802

[1,2,1,6,3,1,24,21,4,1,120,277,56,5,1,720,6322,
 2132,126,6,1,5040,215659,207262,12521,252,7,1,
 40320,10218797,38778082,4907711,60344,462,8,1,
 362880,636984802]