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A219694 as a simple table

na(n)
11
22
32
46
512
69
724
872
996
1064
11120
12480
13900
141000
15625
16720
173600
188640
1912960
2012960
217776
225040
2330240
2488200
25164640
26216090
27201684
28117649
2940320
30282240
31967680
322150400
333440640
344128768
353670016
362097152
37362880
382903040
3911430720
4029393280
4155112400
4279361856
4389282088
4476527504
4543046721

[1,2,2,6,12,9,24,72,96,64,120,480,900,1000,625,
 720,3600,8640,12960,12960,7776,5040,30240,88200,
 164640,216090,201684,117649,40320,282240,967680,
 2150400,3440640,4128768,3670016,2097152,362880,
 2903040,11430720,29393280,55112400,79361856,
 89282088,76527504,43046721]