A360179 - cp's OEIS frontend

A360179 a(1) = 1. Thereafter if a(n-1) is a novel term, a(n) = d(a(n-1)); otherwise a(n) = a(n-1) + d(u), where d is the divisor function A000005 and u is the smallest unstarred prior term (each time we use a prior term we star it, and starred terms cannot be reused).

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

[1, 1, 2, 2, 3, 2, 4, 3, 5, 2, 4, 6, 4, 6, 8, 4, 7, 2, 5, 7, 10, 4, 7, 10, 12, 6, 8, 12, 16, 5, 9, 3, 5, 7, 9, 11, 2, 4, 6, 9, 13, 2, 4, 6, 9, 13, 15, 4, 8, 11, 15, 19, 2, 5, 7, 9, 11, 14, 4, 7, 10, 12, 15, 18, 6, 10, 14, 18, 22, 4, 8, 11]

cp's OEIS Frontend

A360179 a(1) = 1. Thereafter if a(n-1) is a novel term, a(n) = d(a(n-1)); otherwise a(n) = a(n-1) + d(u), where d is the divisor function A000005 and u is the smallest unstarred prior term (each time we use a prior term we star it, and starred terms cannot be reused).

Table of values

List of values

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

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

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