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A274277 as a simple table

na(n)
11
2-2
36
4-40
5320
6-2976
735392
8-538112
99931392
10-211790080
115059784576
12-132643057152
133761875287040
14-114501941915648
153725395402721280
16-129324055589257216
174786638435256696832
18-188785468724361560064
197922155381738193944576
20-352740315643746941665280
2116603695476218208847691776
22-822951583413551750366298112
2342792449844854211313594597376
24-2327246576567999111735900897280
25132052357036729088907927420928000

[1,-2,6,-40,320,-2976,35392,-538112,9931392,
 -211790080,5059784576,-132643057152,3761875287040,
 -114501941915648,3725395402721280,
 -129324055589257216,4786638435256696832,
 -188785468724361560064,7922155381738193944576,
 -352740315643746941665280,
 16603695476218208847691776,
 -822951583413551750366298112,
 42792449844854211313594597376,
 -2327246576567999111735900897280,
 132052357036729088907927420928000]