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A349651 as a simple table

na(n)
01
11
2-6
381
4-1776
554240
6-2125122
7101631558
8-5739235128
9373745355984
10-27572590788480
112272763834553168
12-207013811669644680
1320647997125333476912
14-2238256520486195804280
15262010379635788799196360
16-32939968662220720559744448

[1,1,-6,81,-1776,54240,-2125122,101631558,
 -5739235128,373745355984,-27572590788480,
 2272763834553168,-207013811669644680,
 20647997125333476912,-2238256520486195804280,
 262010379635788799196360,
 -32939968662220720559744448]