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A119837 as a simple table

na(n)
01
10
2-12
3-240
4-5040
5-120960
6-3326400
7-103783680
8-3632428800
9-141145804800
10-6033983155200
11-281585880576000
12-14248245557145600
13-777177030389760000
14-45464856277800960000
15-2839804869044183040000
16-188644180586506444800000

[1,0,-12,-240,-5040,-120960,-3326400,-103783680,
 -3632428800,-141145804800,-6033983155200,
 -281585880576000,-14248245557145600,
 -777177030389760000,-45464856277800960000,
 -2839804869044183040000,-188644180586506444800000]