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A355605 as a simple table

na(n)
01
10
20
33
4-6
520
60
7-126
81260
9-4320
105040
11180180
12-2601720
1331309200
14-372756384
154877195400
16-70178799600
171099333347840
18-18429818232960
19327676010785200
20-6146676161388000
21121301442091851840
22-2512746856371628800
2354527094987619716000

[1,0,0,3,-6,20,0,-126,1260,-4320,5040,180180,
 -2601720,31309200,-372756384,4877195400,
 -70178799600,1099333347840,-18429818232960,
 327676010785200,-6146676161388000,
 121301442091851840,-2512746856371628800,
 54527094987619716000]