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A105945 as a simple table

na(n)
11
211
312
422
5111
6113
7121
8122
9123
10133
11222
12223
13323
14333
151111
161114
171131
181133
191134
201144
211211
221214
231221
241222
251224
261231
271232
281233
291234
301244
311331
321333
331334
341414
351434
361444
372222
382224
392232
402233
412234
422244
433232
443233
453234
463333

[1,11,12,22,111,113,121,122,123,133,222,223,323,
 333,1111,1114,1131,1133,1134,1144,1211,1214,1221,
 1222,1224,1231,1232,1233,1234,1244,1331,1333,1334,
 1414,1434,1444,2222,2224,2232,2233,2234,2244,3232,
 3233,3234,3333]