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A288293 as a simple table

na(n)
01
111
2110
3111
411000
51111
61111000
711111111
81100000
91100111111
101111000000
11111111111111
121111000000000
1311001111111111
1411100110000000
151101111111111111
1611101111000000000
1711111001111111111
181110011110000000000
1911001111111111111

[1,11,110,111,11000,1111,1111000,11111111,1100000,
 1100111111,1111000000,111111111111,1111000000000,
 11001111111111,11100110000000,1101111111111111,
 11101111000000000,11111001111111111,
 1110011110000000000,11001111111111111]