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A136457 as a simple table

na(n)
11
2-1
31
41
5-2
61
7-2
85
9-4
101
1112
12-32
1329
14-10
151
16-288
17780
18-728
19269
20-34
211
2234560
23-93888
2488140
25-33008
264349
27-154
281
29-24883200
3067633920
31-63554688
3223853900
33-3164288
34115229
35-874
361
37125411328000
38-340899840000
39320383261440
40-120287210688
4115971865420
42-583918448
434520189

[1,-1,1,1,-2,1,-2,5,-4,1,12,-32,29,-10,1,-288,780,
 -728,269,-34,1,34560,-93888,88140,-33008,4349,
 -154,1,-24883200,67633920,-63554688,23853900,
 -3164288,115229,-874,1,125411328000,-340899840000,
 320383261440,-120287210688,15971865420,-583918448,
 4520189]