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A338241 as a simple table

na(n)
00
11
2-1
33
4-2
52
6-3
74
8-4
99
10-8
118
12-6
137
14-7
156
16-5
175
18-9
1910
20-10
2112
22-11
2311
24-12
2513
26-13
2727
28-26
2926
30-24
3125
32-25
3324
34-23
3523
36-18
3719
38-19
3921
40-20
4120
42-21
4322
44-22
4518
46-17
4717
48-15
4916
50-16
5115
52-14
5314
54-27
5528
56-28
5730
58-29
5929
60-30
6131

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