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A153577 as a simple table

na(n)
1-1
21
3-7
424
5-121
6720
7-5040
840319
9-362880
103628800
11-39916801
12479001600
13-6227020801
1487178291199
15-1307674368000
1620922789887999
17-355687428096000
186402373705728000
19-121645100408832001
202432902008176640000

[-1,1,-7,24,-121,720,-5040,40319,-362880,3628800,
 -39916801,479001600,-6227020801,87178291199,
 -1307674368000,20922789887999,-355687428096000,
 6402373705728000,-121645100408832001,
 2432902008176640000]