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A109575 as a simple table

na(n)
00
11
2-24
3864
4-41280
52465280
6-176670720
714770990080
8-1411388375040
9151717608161280
10-18121032076492800
112380798038166732800
12-341232779553826406400
1352983548082050826240000
14-8859638774461689652838400
151587282455497648568795136000

[0,1,-24,864,-41280,2465280,-176670720,
 14770990080,-1411388375040,151717608161280,
 -18121032076492800,2380798038166732800,
 -341232779553826406400,52983548082050826240000,
 -8859638774461689652838400,
 1587282455497648568795136000]