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A117966 as a simple table

na(n)
00
11
2-1
33
44
52
6-3
7-2
8-4
99
1010
118
1212
1313
1411
156
167
175
18-9
19-8
20-10
21-6
22-5
23-7
24-12
25-11
26-13
2727
2828
2926
3030
3131
3229
3324
3425
3523
3636
3737
3835
3939
4040
4138
4233
4334
4432
4518
4619
4717
4821
4922
5020
5115
5216
5314
54-27
55-26
56-28
57-24
58-23
59-25
60-30
61-29
62-31
63-18
64-17
65-19
66-15
67-14
68-16
69-21
70-20
71-22
72-36

[0,1,-1,3,4,2,-3,-2,-4,9,10,8,12,13,11,6,7,5,-9,
 -8,-10,-6,-5,-7,-12,-11,-13,27,28,26,30,31,29,24,
 25,23,36,37,35,39,40,38,33,34,32,18,19,17,21,22,
 20,15,16,14,-27,-26,-28,-24,-23,-25,-30,-29,-31,
 -18,-17,-19,-15,-14,-16,-21,-20,-22,-36]