A125715 - cp's OEIS frontend

A125715 a(1)=1. a(n) = the smallest positive integer not occurring earlier in the sequence such that (sum{k=1 to n-1} a(k)) is congruent to a(n) (mod n).

n	a(n)
1	1
2	3
3	4
4	8
5	6
6	10
7	11
8	19
9	17
10	9
11	22
12	2
13	21
14	7
15	5
16	33
17	25
18	23
19	36
20	42
21	31
22	27
23	40
24	18
25	20
26	24
27	32
28	48
29	51
30	55
31	30
32	72
33	26
34	64
35	37
36	15
37	43
38	63
39	103
40	143
41	16
42	44
43	59
44	45
45	60
46	90
47	56
48	80
49	79
50	75
51	14
52	96
53	52
54	68
55	100
56	108
57	65
58	91
59	84
60	128
61	94
62	146
63	61
64	13
65	110
66	176
67	107
68	99
69	12
70	114

[1, 3, 4, 8, 6, 10, 11, 19, 17, 9, 22, 2, 21, 7, 5, 33, 25, 23, 36, 42, 31, 27, 40, 18, 20, 24, 32, 48, 51, 55, 30, 72, 26, 64, 37, 15, 43, 63, 103, 143, 16, 44, 59, 45, 60, 90, 56, 80, 79, 75, 14, 96, 52, 68, 100, 108, 65, 91, 84, 128, 94, 146, 61, 13, 110, 176, 107, 99, 12, 114]

cp's OEIS Frontend

A125715 a(1)=1. a(n) = the smallest positive integer not occurring earlier in the sequence such that (sum{k=1 to n-1} a(k)) is congruent to a(n) (mod n).

Table of values

List of values

n	a(n)
1	1
2	3
3	4
4	8
5	6
6	10
7	11
8	19
9	17
10	9
11	22
12	2
13	21
14	7
15	5
16	33
17	25
18	23
19	36
20	42
21	31
22	27
23	40
24	18
25	20
26	24
27	32
28	48
29	51
30	55
31	30
32	72
33	26
34	64
35	37
36	15
37	43
38	63
39	103
40	143
41	16
42	44
43	59
44	45
45	60
46	90
47	56
48	80
49	79
50	75
51	14
52	96
53	52
54	68
55	100
56	108
57	65
58	91
59	84
60	128
61	94
62	146
63	61
64	13
65	110
66	176
67	107
68	99
69	12
70	114

n	a(n)
1	1
2	3
3	4
4	8
5	6
6	10
7	11
8	19
9	17
10	9
11	22
12	2
13	21
14	7
15	5
16	33
17	25
18	23
19	36
20	42
21	31
22	27
23	40
24	18
25	20
26	24
27	32
28	48
29	51
30	55
31	30
32	72
33	26
34	64
35	37
36	15
37	43
38	63
39	103
40	143
41	16
42	44
43	59
44	45
45	60
46	90
47	56
48	80
49	79
50	75
51	14
52	96
53	52
54	68
55	100
56	108
57	65
58	91
59	84
60	128
61	94
62	146
63	61
64	13
65	110
66	176
67	107
68	99
69	12
70	114

n	a(n)
1	1
2	3
3	4
4	8
5	6
6	10
7	11
8	19
9	17
10	9
11	22
12	2
13	21
14	7
15	5
16	33
17	25
18	23
19	36
20	42
21	31
22	27
23	40
24	18
25	20
26	24
27	32
28	48
29	51
30	55
31	30
32	72
33	26
34	64
35	37
36	15
37	43
38	63
39	103
40	143
41	16
42	44
43	59
44	45
45	60
46	90
47	56
48	80
49	79
50	75
51	14
52	96
53	52
54	68
55	100
56	108
57	65
58	91
59	84
60	128
61	94
62	146
63	61
64	13
65	110
66	176
67	107
68	99
69	12
70	114