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A349316 as a simple table

na(n)
10
210
3100
4120
51010
61020
71120
81230
910120
1010130
1110230
1210240
1311230
1411240
1512240
1612350
17101130
18101240
19101350
20102240
21102350
22102460
23112240
24112350
25112460
26122360
27122470
28123470
29123580
301011240
311011250
321011350
331011360
341012250
351012360
361012460

[0,10,100,120,1010,1020,1120,1230,10120,10130,
 10230,10240,11230,11240,12240,12350,101130,101240,
 101350,102240,102350,102460,112240,112350,112460,
 122360,122470,123470,123580,1011240,1011250,
 1011350,1011360,1012250,1012360,1012460]