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A144457 as a simple table

na(n)
11
2-1
31
4-3
5-8
63
7-15
8-119
9-217
1015
11-105
12-1574
13-7440
14-10954
15105
16-945
17-22679
18-194646
19-702874
20-892281
21945
22-10395
23-363824
24-4885615
25-31288480
26-94892945
27-108046896
2810395
29-135135
30-6486479
31-124999827
32-1232430275
33-6521470845
34-17442096461
35-18261339153
36135135

[1,-1,1,-3,-8,3,-15,-119,-217,15,-105,-1574,-7440,
 -10954,105,-945,-22679,-194646,-702874,-892281,
 945,-10395,-363824,-4885615,-31288480,-94892945,
 -108046896,10395,-135135,-6486479,-124999827,
 -1232430275,-6521470845,-17442096461,-18261339153,
 135135]