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A368946 as a simple table

na(n)
031
1310
2311
331010
43110
531111
6310101010
73110110
8311110
9311111111
10301
11310
1231010101010101010
133110110110110
1431111011110
153010
163100
173111111110
1831111111111111111
193011111
203101111
213110111
223111011
233111101
243111110
253010
2630101
2731010

[31,310,311,31010,3110,31111,310101010,3110110,
 311110,311111111,301,310,31010101010101010,
 3110110110110,31111011110,3010,3100,3111111110,
 31111111111111111,3011111,3101111,3110111,3111011,
 3111101,3111110,3010,30101,31010]