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A373396 as a simple table

na(n)
01
1-1
21
35
4-6
51
6-113
7140
8-28
91
1010879
11-13560
122800
13-120
141
15-4324129
165395984
17-1120960
1849600
19-496
201
216984271295
22-8717444064
231813050624
24-80709120
25833280
26-2016
271
28-45479775838337
2956768157085760
30-11809230892032
31526302695424
32-5466697728
3313655040
34-8128
351

[1,-1,1,5,-6,1,-113,140,-28,1,10879,-13560,2800,
 -120,1,-4324129,5395984,-1120960,49600,-496,1,
 6984271295,-8717444064,1813050624,-80709120,
 833280,-2016,1,-45479775838337,56768157085760,
 -11809230892032,526302695424,-5466697728,13655040,
 -8128,1]