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A174570 as a simple table

na(n)
11
22
310
411
522
61000
71001
81010
91011
101100
111101
121110
131111
142222
1510002
1610012
1710020
1810021
1910102
2010112
2110120
2210121
2310200
2410201
2510210
2610211
2711002
2811012
2911020
3011021
3111102
3211112
3311120
3411121
3511200
3611201
3711210
3811211
3912000
4012001
4112010
4212011
4312100
4412101
4512110
4612111
4720000
4820001
4920010

[1,2,10,11,22,1000,1001,1010,1011,1100,1101,1110,
 1111,2222,10002,10012,10020,10021,10102,10112,
 10120,10121,10200,10201,10210,10211,11002,11012,
 11020,11021,11102,11112,11120,11121,11200,11201,
 11210,11211,12000,12001,12010,12011,12100,12101,
 12110,12111,20000,20001,20010]