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A373311 as a simple table

na(n)
11
2-2
36
4-23
590
6-370
71568
8-6802
930032
10-134422
11608136
12-2774480
1312741844
14-58820272
15272617696
16-1267318854
175904152560
18-27545442786
19128610298720
20-600579852616
212803385644716
22-13072680693872
2360864695165024
24-282763138097520
251309945271204312
26-6047009494466692

[1,-2,6,-23,90,-370,1568,-6802,30032,-134422,
 608136,-2774480,12741844,-58820272,272617696,
 -1267318854,5904152560,-27545442786,128610298720,
 -600579852616,2803385644716,-13072680693872,
 60864695165024,-282763138097520,1309945271204312,
 -6047009494466692]