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A370359 as a simple table

na(n)
00
11
28
354
40
5-12500
6-373248
7-6588344
80
96198727824
10320000000000
119129973459552
120
13-19384006821904192
14-1422336873671426048
15-56050417968750000000
160
17211773507042902211629312
1820145360934551827238617088
191012950863698080557631477248
200
21-5982809106827246101894271407104

[0,1,8,54,0,-12500,-373248,-6588344,0,6198727824,
 320000000000,9129973459552,0,-19384006821904192,
 -1422336873671426048,-56050417968750000000,0,
 211773507042902211629312,
 20145360934551827238617088,
 1012950863698080557631477248,0,
 -5982809106827246101894271407104]