A371220 - cp's OEIS frontend

A371220 Lexicographically earliest sequence of distinct positive integers such that for any n > 0, a(1) + ... + a(n) is a multiple of n, and the least value not yet in the sequence appears as soon as possible.

n	a(n)
1	1
2	3
3	2
4	10
5	4
6	52
7	5
8	43
9	6
10	54
11	7
12	65
13	8
14	76
15	9
16	103
17	11
18	99
19	12
20	110
21	13
22	121
23	14
24	132
25	15
26	143
27	16
28	154
29	17
30	165
31	18
32	176
33	19
34	187
35	20
36	198
37	21
38	209
39	22
40	220
41	23
42	231
43	24
44	242
45	25
46	253
47	26
48	264
49	27
50	275
51	28
52	286
53	29
54	297
55	30
56	308
57	31
58	319
59	32
60	330
61	33
62	341

[1, 3, 2, 10, 4, 52, 5, 43, 6, 54, 7, 65, 8, 76, 9, 103, 11, 99, 12, 110, 13, 121, 14, 132, 15, 143, 16, 154, 17, 165, 18, 176, 19, 187, 20, 198, 21, 209, 22, 220, 23, 231, 24, 242, 25, 253, 26, 264, 27, 275, 28, 286, 29, 297, 30, 308, 31, 319, 32, 330, 33, 341]

cp's OEIS Frontend

A371220 Lexicographically earliest sequence of distinct positive integers such that for any n > 0, a(1) + ... + a(n) is a multiple of n, and the least value not yet in the sequence appears as soon as possible.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	10
5	4
6	52
7	5
8	43
9	6
10	54
11	7
12	65
13	8
14	76
15	9
16	103
17	11
18	99
19	12
20	110
21	13
22	121
23	14
24	132
25	15
26	143
27	16
28	154
29	17
30	165
31	18
32	176
33	19
34	187
35	20
36	198
37	21
38	209
39	22
40	220
41	23
42	231
43	24
44	242
45	25
46	253
47	26
48	264
49	27
50	275
51	28
52	286
53	29
54	297
55	30
56	308
57	31
58	319
59	32
60	330
61	33
62	341

n	a(n)
1	1
2	3
3	2
4	10
5	4
6	52
7	5
8	43
9	6
10	54
11	7
12	65
13	8
14	76
15	9
16	103
17	11
18	99
19	12
20	110
21	13
22	121
23	14
24	132
25	15
26	143
27	16
28	154
29	17
30	165
31	18
32	176
33	19
34	187
35	20
36	198
37	21
38	209
39	22
40	220
41	23
42	231
43	24
44	242
45	25
46	253
47	26
48	264
49	27
50	275
51	28
52	286
53	29
54	297
55	30
56	308
57	31
58	319
59	32
60	330
61	33
62	341

n	a(n)
1	1
2	3
3	2
4	10
5	4
6	52
7	5
8	43
9	6
10	54
11	7
12	65
13	8
14	76
15	9
16	103
17	11
18	99
19	12
20	110
21	13
22	121
23	14
24	132
25	15
26	143
27	16
28	154
29	17
30	165
31	18
32	176
33	19
34	187
35	20
36	198
37	21
38	209
39	22
40	220
41	23
42	231
43	24
44	242
45	25
46	253
47	26
48	264
49	27
50	275
51	28
52	286
53	29
54	297
55	30
56	308
57	31
58	319
59	32
60	330
61	33
62	341