A356432 - cp's OEIS frontend

A356432 a(1) = 1; for n > 1, a(n) is the smallest positive number not occurring earlier that shares a factor with a(n-1) plus the number of divisors of a(n-1).

n	a(n)
1	1
2	2
3	4
4	7
5	3
6	5
7	14
8	6
9	8
10	9
11	10
12	12
13	15
14	19
15	18
16	16
17	21
18	20
19	13
20	24
21	22
22	26
23	25
24	28
25	17
26	38
27	27
28	31
29	11
30	39
31	43
32	30
33	32
34	34
35	36
36	33
37	37
38	42
39	35
40	45
41	48
42	29
43	62
44	40
45	44
46	46
47	50
48	49
49	52
50	54
51	56
52	58
53	60
54	51
55	55
56	59
57	61
58	57
59	122
60	63
61	23
62	65
63	66
64	64
65	71
66	73
67	69
68	146
69	68
70	70
71	72
72	74
73	75
74	78
75	76
76	41

[1, 2, 4, 7, 3, 5, 14, 6, 8, 9, 10, 12, 15, 19, 18, 16, 21, 20, 13, 24, 22, 26, 25, 28, 17, 38, 27, 31, 11, 39, 43, 30, 32, 34, 36, 33, 37, 42, 35, 45, 48, 29, 62, 40, 44, 46, 50, 49, 52, 54, 56, 58, 60, 51, 55, 59, 61, 57, 122, 63, 23, 65, 66, 64, 71, 73, 69, 146, 68, 70, 72, 74, 75, 78, 76, 41]

cp's OEIS Frontend

A356432 a(1) = 1; for n > 1, a(n) is the smallest positive number not occurring earlier that shares a factor with a(n-1) plus the number of divisors of a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	7
5	3
6	5
7	14
8	6
9	8
10	9
11	10
12	12
13	15
14	19
15	18
16	16
17	21
18	20
19	13
20	24
21	22
22	26
23	25
24	28
25	17
26	38
27	27
28	31
29	11
30	39
31	43
32	30
33	32
34	34
35	36
36	33
37	37
38	42
39	35
40	45
41	48
42	29
43	62
44	40
45	44
46	46
47	50
48	49
49	52
50	54
51	56
52	58
53	60
54	51
55	55
56	59
57	61
58	57
59	122
60	63
61	23
62	65
63	66
64	64
65	71
66	73
67	69
68	146
69	68
70	70
71	72
72	74
73	75
74	78
75	76
76	41

n	a(n)
1	1
2	2
3	4
4	7
5	3
6	5
7	14
8	6
9	8
10	9
11	10
12	12
13	15
14	19
15	18
16	16
17	21
18	20
19	13
20	24
21	22
22	26
23	25
24	28
25	17
26	38
27	27
28	31
29	11
30	39
31	43
32	30
33	32
34	34
35	36
36	33
37	37
38	42
39	35
40	45
41	48
42	29
43	62
44	40
45	44
46	46
47	50
48	49
49	52
50	54
51	56
52	58
53	60
54	51
55	55
56	59
57	61
58	57
59	122
60	63
61	23
62	65
63	66
64	64
65	71
66	73
67	69
68	146
69	68
70	70
71	72
72	74
73	75
74	78
75	76
76	41

n	a(n)
1	1
2	2
3	4
4	7
5	3
6	5
7	14
8	6
9	8
10	9
11	10
12	12
13	15
14	19
15	18
16	16
17	21
18	20
19	13
20	24
21	22
22	26
23	25
24	28
25	17
26	38
27	27
28	31
29	11
30	39
31	43
32	30
33	32
34	34
35	36
36	33
37	37
38	42
39	35
40	45
41	48
42	29
43	62
44	40
45	44
46	46
47	50
48	49
49	52
50	54
51	56
52	58
53	60
54	51
55	55
56	59
57	61
58	57
59	122
60	63
61	23
62	65
63	66
64	64
65	71
66	73
67	69
68	146
69	68
70	70
71	72
72	74
73	75
74	78
75	76
76	41