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A352339 a(n) is the maximal (or lazy) Pell representation of n using a ternary system of vectors.

Table of values

n a(n)
0 0
1 1
2 10
3 11
4 20
5 21
6 22
7 110
8 111
9 120
10 121
11 122
12 210
13 211
14 220
15 221
16 1020
17 1021
18 1022
19 1110
20 1111
21 1120
22 1121
23 1122
24 1210
25 1211
26 1220
27 1221
28 2020
29 2021
30 2022
31 2110
32 2111
33 2120
34 2121
35 2122
36 2210
37 2211
38 2220
39 2221
40 2222
41 10210
42 10211
43 10220
44 10221
45 11020
46 11021

List of values

[0, 1, 10, 11, 20, 21, 22, 110, 111, 120, 121, 122, 210, 211, 220, 221, 1020, 1021, 1022, 1110, 1111, 1120, 1121, 1122, 1210, 1211, 1220, 1221, 2020, 2021, 2022, 2110, 2111, 2120, 2121, 2122, 2210, 2211, 2220, 2221, 2222, 10210, 10211, 10220, 10221, 11020, 11021]