A125147 - cp's OEIS frontend

A125147 a(0)=1; for n >= 1, a(n) is the smallest positive integer not occurring earlier in the sequence such that Sum_{k=0..n} a(k) is a multiple of n.

n	a(n)
0	1
1	2
2	3
3	6
4	4
5	9
6	5
7	12
8	14
9	7
10	17
11	8
12	20
13	22
14	10
15	25
16	11
17	28
18	30
19	13
20	33
21	35
22	15
23	38
24	16
25	41
26	43
27	18
28	46
29	19
30	49
31	51
32	21
33	54
34	56
35	23
36	59
37	24
38	62
39	64
40	26
41	67
42	27
43	70
44	72
45	29
46	75
47	77
48	31
49	80
50	32
51	83
52	85
53	34
54	88
55	90
56	36
57	93
58	37
59	96
60	98
61	39
62	101
63	40
64	104
65	106
66	42
67	109
68	111
69	44

[1, 2, 3, 6, 4, 9, 5, 12, 14, 7, 17, 8, 20, 22, 10, 25, 11, 28, 30, 13, 33, 35, 15, 38, 16, 41, 43, 18, 46, 19, 49, 51, 21, 54, 56, 23, 59, 24, 62, 64, 26, 67, 27, 70, 72, 29, 75, 77, 31, 80, 32, 83, 85, 34, 88, 90, 36, 93, 37, 96, 98, 39, 101, 40, 104, 106, 42, 109, 111, 44]

cp's OEIS Frontend

A125147 a(0)=1; for n >= 1, a(n) is the smallest positive integer not occurring earlier in the sequence such that Sum_{k=0..n} a(k) is a multiple of n.

Table of values

List of values

n	a(n)
0	1
1	2
2	3
3	6
4	4
5	9
6	5
7	12
8	14
9	7
10	17
11	8
12	20
13	22
14	10
15	25
16	11
17	28
18	30
19	13
20	33
21	35
22	15
23	38
24	16
25	41
26	43
27	18
28	46
29	19
30	49
31	51
32	21
33	54
34	56
35	23
36	59
37	24
38	62
39	64
40	26
41	67
42	27
43	70
44	72
45	29
46	75
47	77
48	31
49	80
50	32
51	83
52	85
53	34
54	88
55	90
56	36
57	93
58	37
59	96
60	98
61	39
62	101
63	40
64	104
65	106
66	42
67	109
68	111
69	44

n	a(n)
0	1
1	2
2	3
3	6
4	4
5	9
6	5
7	12
8	14
9	7
10	17
11	8
12	20
13	22
14	10
15	25
16	11
17	28
18	30
19	13
20	33
21	35
22	15
23	38
24	16
25	41
26	43
27	18
28	46
29	19
30	49
31	51
32	21
33	54
34	56
35	23
36	59
37	24
38	62
39	64
40	26
41	67
42	27
43	70
44	72
45	29
46	75
47	77
48	31
49	80
50	32
51	83
52	85
53	34
54	88
55	90
56	36
57	93
58	37
59	96
60	98
61	39
62	101
63	40
64	104
65	106
66	42
67	109
68	111
69	44

n	a(n)
0	1
1	2
2	3
3	6
4	4
5	9
6	5
7	12
8	14
9	7
10	17
11	8
12	20
13	22
14	10
15	25
16	11
17	28
18	30
19	13
20	33
21	35
22	15
23	38
24	16
25	41
26	43
27	18
28	46
29	19
30	49
31	51
32	21
33	54
34	56
35	23
36	59
37	24
38	62
39	64
40	26
41	67
42	27
43	70
44	72
45	29
46	75
47	77
48	31
49	80
50	32
51	83
52	85
53	34
54	88
55	90
56	36
57	93
58	37
59	96
60	98
61	39
62	101
63	40
64	104
65	106
66	42
67	109
68	111
69	44