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A078348 as a simple table

na(n)
13313
23331
332233
432323
533223
6123323
7132233
8223133
9223313
10223331
11231323
12233231
13312233
14321323
15323123
163344443
173434443
183443443
194434343
204443433
2114334443
2214443343
2314443433
2431434443
2531443443
2633434441
2733555553

[3313,3331,32233,32323,33223,123323,132233,223133,
 223313,223331,231323,233231,312233,321323,323123,
 3344443,3434443,3443443,4434343,4443433,14334443,
 14443343,14443433,31434443,31443443,33434441,
 33555553]