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A370189 as a simple table

na(n)
00
11
24
3-18
4-240
51900
642372
7-482552
8-14970816
9222612624
108825080100
11-161981127968
12-7809130867824
13170561613679808
149678967816041188
15-245159013138710400
16-16000787866533953280
17461102348510408544512
1834017524842099233036996
19-1098983344602124698522112
20-90417110945911655996319600

[0,1,4,-18,-240,1900,42372,-482552,-14970816,
 222612624,8825080100,-161981127968,-7809130867824,
 170561613679808,9678967816041188,
 -245159013138710400,-16000787866533953280,
 461102348510408544512,34017524842099233036996,
 -1098983344602124698522112,
 -90417110945911655996319600]