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A053583 as a simple table

na(n)
13
213
3113
42113
512113
6612113
711612113
81611612113
9111611612113
101111611612113
1181111611612113
122181111611612113
13132181111611612113
1411132181111611612113
153411132181111611612113
16413411132181111611612113
1712413411132181111611612113

[3,13,113,2113,12113,612113,11612113,1611612113,
 111611612113,1111611612113,81111611612113,
 2181111611612113,132181111611612113,
 11132181111611612113,3411132181111611612113,
 413411132181111611612113,
 12413411132181111611612113]