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A182971 as a simple table

na(n)
01
11
2-1
31
4-4
51
6-10
79
81
9-20
1064
111
12-35
13259
14-225
151
16-56
17784
18-2304
191
20-84
211974
22-12916
2311025
241
25-120
264368
27-52480
28147456
291
30-165
318778
32-172810
331057221
34-893025
351
36-220
3716368
38-489280
395395456
40-14745600
411
42-286
4328743
44-1234948
4521967231
46-128816766
47108056025
481
49-364
5048048
51-2846272
5275851776
53-791691264
542123366400

[1,1,-1,1,-4,1,-10,9,1,-20,64,1,-35,259,-225,1,
 -56,784,-2304,1,-84,1974,-12916,11025,1,-120,4368,
 -52480,147456,1,-165,8778,-172810,1057221,-893025,
 1,-220,16368,-489280,5395456,-14745600,1,-286,
 28743,-1234948,21967231,-128816766,108056025,1,
 -364,48048,-2846272,75851776,-791691264,
 2123366400]