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A110556 as a simple table

na(n)
01
1-1
23
3-10
435
5-126
6462
7-1716
86435
9-24310
1092378
11-352716
121352078
13-5200300
1420058300
15-77558760
16300540195
17-1166803110
184537567650
19-17672631900
2068923264410
21-269128937220
221052049481860
23-4116715363800
2416123801841550

[1,-1,3,-10,35,-126,462,-1716,6435,-24310,92378,
 -352716,1352078,-5200300,20058300,-77558760,
 300540195,-1166803110,4537567650,-17672631900,
 68923264410,-269128937220,1052049481860,
 -4116715363800,16123801841550]