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A117057 as a simple table

na(n)
11
22
33
44
55
66
77
88
99
1011
11111
12212
131111
142112
154224
1611111
1711711
1813131
1921112
2021312
2131113
2242624
23111111
24211112
25234432
261111111
271113111
282111112
292112112
302114112
312118112
3211111111
3321111112
3421122112
3561111116
36111111111

[1,2,3,4,5,6,7,8,9,11,111,212,1111,2112,4224,
 11111,11711,13131,21112,21312,31113,42624,111111,
 211112,234432,1111111,1113111,2111112,2112112,
 2114112,2118112,11111111,21111112,21122112,
 61111116,111111111]