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A069746 as a simple table

na(n)
11000
21011
31101
41110
51111
61112
71121
81211
91222
102111
112122
122212
132221
142222
152223
162232
172322
182333
193222
203233
213323
223332
233333
243334
253343
263433
273444
284333
294344
304434
314443
324444
334445
344454
354544
364555
375444
385455
395545
405554
415555
425556

[1000,1011,1101,1110,1111,1112,1121,1211,1222,
 2111,2122,2212,2221,2222,2223,2232,2322,2333,3222,
 3233,3323,3332,3333,3334,3343,3433,3444,4333,4344,
 4434,4443,4444,4445,4454,4544,4555,5444,5455,5545,
 5554,5555,5556]