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A038444 as a simple table

na(n)
111
2101
3110
41001
51010
61100
710001
810010
910100
1011000
11100001
12100010
13100100
14101000
15110000
161000001
171000010
181000100
191001000
201010000
211100000
2210000001
2310000010
2410000100
2510001000
2610010000
2710100000
2811000000

[11,101,110,1001,1010,1100,10001,10010,10100,
 11000,100001,100010,100100,101000,110000,1000001,
 1000010,1000100,1001000,1010000,1100000,10000001,
 10000010,10000100,10001000,10010000,10100000,
 11000000]