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A096044 as a simple table

na(n)
11
211
32
4111
533
63
71111
8444
966
104
1111111
125555
131110
14110
155
16111111
1766666
1816665
192220
20165
216
221111111
23777777
24233331
2538885
263885
27231
287
2911111111
308888888
313111108
32622216
3377770
346216
35308
368
37111111111
3899999999
3939999996
409333324
411399986
42139986
439324
44396
459

[1,11,2,111,33,3,1111,444,66,4,11111,5555,1110,
 110,5,111111,66666,16665,2220,165,6,1111111,
 777777,233331,38885,3885,231,7,11111111,8888888,
 3111108,622216,77770,6216,308,8,111111111,
 99999999,39999996,9333324,1399986,139986,9324,396,
 9]