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A141588 as a simple table

na(n)
01
1-1
21
31
4-1
51
61
71
8-1
91
101
111
12-691
131
141
151
16-3617
171
1843867
191
20-174611
211
2277683
231
24-236364091
251
26657931
271
28-3392780147
291
301723168255201
311
32-7709321041217
331
34151628697551
351
36-26315271553053477373

[1,-1,1,1,-1,1,1,1,-1,1,1,1,-691,1,1,1,-3617,1,
 43867,1,-174611,1,77683,1,-236364091,1,657931,1,
 -3392780147,1,1723168255201,1,-7709321041217,1,
 151628697551,1,-26315271553053477373]