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A083441 as a simple table

na(n)
11
211
3111
42002
520102
6300003
73001003
840000004
9400010004
105000000005
1150000100005
12600000000006
136000001000006
1470000000000007
15700000010000007
168000000000000008
1780000000100000008
18900000000000000009
199000000001000000009
2091000000000000000019
21910000000010000000019

[1,11,111,2002,20102,300003,3001003,40000004,
 400010004,5000000005,50000100005,600000000006,
 6000001000006,70000000000007,700000010000007,
 8000000000000008,80000000100000008,
 900000000000000009,9000000001000000009,
 91000000000000000019,910000000010000000019]