A357735 - cp's OEIS frontend

A357735 a(1)=1, a(2)=2. Thereafter a(n+1) is least k != partial sum s(n) which has not occurred earlier, such that gcd(k, s(n)) > 1.

n	a(n)
1	1
2	2
3	6
4	3
5	4
6	8
7	9
8	11
9	10
10	12
11	14
12	5
13	15
14	16
15	18
16	20
17	7
18	21
19	13
20	24
21	27
22	22
23	26
24	28
25	23
26	25
27	30
28	32
29	33
30	31
31	34
32	35
33	40
34	44
35	55
36	36
37	37
38	39
39	17
40	42
41	45
42	38
43	46
44	48
45	50
46	19
47	57
48	52
49	41
50	62
51	43
52	54
53	56
54	58
55	60
56	64
57	51
58	63
59	66
60	49
61	70
62	77
63	68
64	69
65	72
66	75
67	74
68	76

[1, 2, 6, 3, 4, 8, 9, 11, 10, 12, 14, 5, 15, 16, 18, 20, 7, 21, 13, 24, 27, 22, 26, 28, 23, 25, 30, 32, 33, 31, 34, 35, 40, 44, 55, 36, 37, 39, 17, 42, 45, 38, 46, 48, 50, 19, 57, 52, 41, 62, 43, 54, 56, 58, 60, 64, 51, 63, 66, 49, 70, 77, 68, 69, 72, 75, 74, 76]

cp's OEIS Frontend

A357735 a(1)=1, a(2)=2. Thereafter a(n+1) is least k != partial sum s(n) which has not occurred earlier, such that gcd(k, s(n)) > 1.

Table of values

List of values

n	a(n)
1	1
2	2
3	6
4	3
5	4
6	8
7	9
8	11
9	10
10	12
11	14
12	5
13	15
14	16
15	18
16	20
17	7
18	21
19	13
20	24
21	27
22	22
23	26
24	28
25	23
26	25
27	30
28	32
29	33
30	31
31	34
32	35
33	40
34	44
35	55
36	36
37	37
38	39
39	17
40	42
41	45
42	38
43	46
44	48
45	50
46	19
47	57
48	52
49	41
50	62
51	43
52	54
53	56
54	58
55	60
56	64
57	51
58	63
59	66
60	49
61	70
62	77
63	68
64	69
65	72
66	75
67	74
68	76

n	a(n)
1	1
2	2
3	6
4	3
5	4
6	8
7	9
8	11
9	10
10	12
11	14
12	5
13	15
14	16
15	18
16	20
17	7
18	21
19	13
20	24
21	27
22	22
23	26
24	28
25	23
26	25
27	30
28	32
29	33
30	31
31	34
32	35
33	40
34	44
35	55
36	36
37	37
38	39
39	17
40	42
41	45
42	38
43	46
44	48
45	50
46	19
47	57
48	52
49	41
50	62
51	43
52	54
53	56
54	58
55	60
56	64
57	51
58	63
59	66
60	49
61	70
62	77
63	68
64	69
65	72
66	75
67	74
68	76

n	a(n)
1	1
2	2
3	6
4	3
5	4
6	8
7	9
8	11
9	10
10	12
11	14
12	5
13	15
14	16
15	18
16	20
17	7
18	21
19	13
20	24
21	27
22	22
23	26
24	28
25	23
26	25
27	30
28	32
29	33
30	31
31	34
32	35
33	40
34	44
35	55
36	36
37	37
38	39
39	17
40	42
41	45
42	38
43	46
44	48
45	50
46	19
47	57
48	52
49	41
50	62
51	43
52	54
53	56
54	58
55	60
56	64
57	51
58	63
59	66
60	49
61	70
62	77
63	68
64	69
65	72
66	75
67	74
68	76