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A119283 as a simple table

na(n)
00
1-1
20
3-4
45
5-20
644
7-125
8316
9-840
102185
11-5736
1215000
13-39289
14102840
15-269260
16704909
17-1845500
184831556
19-12649205
2033116020
21-86698896
22226980625
23-594243024
241555748400
25-4073002225
2610663258224
27-27916772500
2873087059221
29-191344405220
30500946156380
31-1311494063981
323433536035500
33-8989114042584
3423533806092185
35-61612304234040

[0,-1,0,-4,5,-20,44,-125,316,-840,2185,-5736,
 15000,-39289,102840,-269260,704909,-1845500,
 4831556,-12649205,33116020,-86698896,226980625,
 -594243024,1555748400,-4073002225,10663258224,
 -27916772500,73087059221,-191344405220,
 500946156380,-1311494063981,3433536035500,
 -8989114042584,23533806092185,-61612304234040]