A383412 - cp's OEIS frontend

A383412 Lexicographically earliest sequence of integers >= 2 such that whenever a(k_1) = ... = a(k_m) with k_1 < ... < k_m, the sum k_1 + ... + k_m can be computed without carries in base a(k_1).

n	a(n)
0	2
1	2
2	2
3	3
4	2
5	3
6	4
7	5
8	2
9	3
10	5
11	6
12	6
13	7
14	7
15	8
16	2
17	4
18	9
19	9
20	4
21	7
22	9
23	10
24	8
25	5
26	5
27	3
28	11
29	12
30	5
31	10
32	2
33	10
34	11
35	11
36	3
37	12
38	12
39	12
40	13
41	13
42	6
43	13
44	13
45	14
46	14
47	14
48	15
49	7
50	15
51	15
52	16
53	16
54	16
55	17
56	14
57	17
58	18
59	18
60	15
61	18
62	19
63	19
64	2
65	20
66	20
67	20
68	4
69	17
70	17
71	21
72	6
73	18

[2, 2, 2, 3, 2, 3, 4, 5, 2, 3, 5, 6, 6, 7, 7, 8, 2, 4, 9, 9, 4, 7, 9, 10, 8, 5, 5, 3, 11, 12, 5, 10, 2, 10, 11, 11, 3, 12, 12, 12, 13, 13, 6, 13, 13, 14, 14, 14, 15, 7, 15, 15, 16, 16, 16, 17, 14, 17, 18, 18, 15, 18, 19, 19, 2, 20, 20, 20, 4, 17, 17, 21, 6, 18]

cp's OEIS Frontend

A383412 Lexicographically earliest sequence of integers >= 2 such that whenever a(k_1) = ... = a(k_m) with k_1 < ... < k_m, the sum k_1 + ... + k_m can be computed without carries in base a(k_1).

Table of values

List of values

n	a(n)
0	2
1	2
2	2
3	3
4	2
5	3
6	4
7	5
8	2
9	3
10	5
11	6
12	6
13	7
14	7
15	8
16	2
17	4
18	9
19	9
20	4
21	7
22	9
23	10
24	8
25	5
26	5
27	3
28	11
29	12
30	5
31	10
32	2
33	10
34	11
35	11
36	3
37	12
38	12
39	12
40	13
41	13
42	6
43	13
44	13
45	14
46	14
47	14
48	15
49	7
50	15
51	15
52	16
53	16
54	16
55	17
56	14
57	17
58	18
59	18
60	15
61	18
62	19
63	19
64	2
65	20
66	20
67	20
68	4
69	17
70	17
71	21
72	6
73	18

n	a(n)
0	2
1	2
2	2
3	3
4	2
5	3
6	4
7	5
8	2
9	3
10	5
11	6
12	6
13	7
14	7
15	8
16	2
17	4
18	9
19	9
20	4
21	7
22	9
23	10
24	8
25	5
26	5
27	3
28	11
29	12
30	5
31	10
32	2
33	10
34	11
35	11
36	3
37	12
38	12
39	12
40	13
41	13
42	6
43	13
44	13
45	14
46	14
47	14
48	15
49	7
50	15
51	15
52	16
53	16
54	16
55	17
56	14
57	17
58	18
59	18
60	15
61	18
62	19
63	19
64	2
65	20
66	20
67	20
68	4
69	17
70	17
71	21
72	6
73	18

n	a(n)
0	2
1	2
2	2
3	3
4	2
5	3
6	4
7	5
8	2
9	3
10	5
11	6
12	6
13	7
14	7
15	8
16	2
17	4
18	9
19	9
20	4
21	7
22	9
23	10
24	8
25	5
26	5
27	3
28	11
29	12
30	5
31	10
32	2
33	10
34	11
35	11
36	3
37	12
38	12
39	12
40	13
41	13
42	6
43	13
44	13
45	14
46	14
47	14
48	15
49	7
50	15
51	15
52	16
53	16
54	16
55	17
56	14
57	17
58	18
59	18
60	15
61	18
62	19
63	19
64	2
65	20
66	20
67	20
68	4
69	17
70	17
71	21
72	6
73	18