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A165969 as a simple table

na(n)
13
216
35
490
536
614
7576
8252
9128
1054
114200
121920
131080
14600
15264
1634560
1716200
189600
195940
203456
211560
22317520
23151200
2492400
2560480
2639312
2723520
2810800
293225600
301552320
31967680
32655200
33451584
34302400
35184320
3685680
3735925120
3817418240
3911007360
407620480
415443200
423870720
432643840
441632960
45766080

[3,16,5,90,36,14,576,252,128,54,4200,1920,1080,
 600,264,34560,16200,9600,5940,3456,1560,317520,
 151200,92400,60480,39312,23520,10800,3225600,
 1552320,967680,655200,451584,302400,184320,85680,
 35925120,17418240,11007360,7620480,5443200,
 3870720,2643840,1632960,766080]