A364236 - cp's OEIS frontend

A364236 a(1) = 1. For n > 1, if a(n-1) is a novel term, a(n) = d(a(n-1)), else if a(n-1) is a repeat term seen k (>1) times, a(n) = a(n-1) + d(k-1), where d is the divisor counting function A000005.

n	a(n)
1	1
2	1
3	2
4	2
5	3
6	2
7	4
8	3
9	4
10	5
11	2
12	4
13	6
14	4
15	6
16	7
17	2
18	5
19	6
20	8
21	4
22	7
23	8
24	9
25	3
26	5
27	7
28	9
29	10
30	4
31	6
32	8
33	10
34	11
35	2
36	4
37	8
38	10
39	12
40	6
41	9
42	11
43	12
44	13
45	2
46	6
47	8
48	11
49	13
50	14
51	4
52	6
53	10
54	12
55	14
56	15
57	4
58	8
59	10
60	13
61	15
62	16
63	5
64	7
65	9
66	11
67	13
68	15
69	17
70	2
71	4
72	7
73	10
74	12
75	14
76	16
77	17
78	18

[1, 1, 2, 2, 3, 2, 4, 3, 4, 5, 2, 4, 6, 4, 6, 7, 2, 5, 6, 8, 4, 7, 8, 9, 3, 5, 7, 9, 10, 4, 6, 8, 10, 11, 2, 4, 8, 10, 12, 6, 9, 11, 12, 13, 2, 6, 8, 11, 13, 14, 4, 6, 10, 12, 14, 15, 4, 8, 10, 13, 15, 16, 5, 7, 9, 11, 13, 15, 17, 2, 4, 7, 10, 12, 14, 16, 17, 18]

cp's OEIS Frontend

A364236 a(1) = 1. For n > 1, if a(n-1) is a novel term, a(n) = d(a(n-1)), else if a(n-1) is a repeat term seen k (>1) times, a(n) = a(n-1) + d(k-1), where d is the divisor counting function A000005.

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	4
10	5
11	2
12	4
13	6
14	4
15	6
16	7
17	2
18	5
19	6
20	8
21	4
22	7
23	8
24	9
25	3
26	5
27	7
28	9
29	10
30	4
31	6
32	8
33	10
34	11
35	2
36	4
37	8
38	10
39	12
40	6
41	9
42	11
43	12
44	13
45	2
46	6
47	8
48	11
49	13
50	14
51	4
52	6
53	10
54	12
55	14
56	15
57	4
58	8
59	10
60	13
61	15
62	16
63	5
64	7
65	9
66	11
67	13
68	15
69	17
70	2
71	4
72	7
73	10
74	12
75	14
76	16
77	17
78	18

n	a(n)
1	1
2	1
3	2
4	2
5	3
6	2
7	4
8	3
9	4
10	5
11	2
12	4
13	6
14	4
15	6
16	7
17	2
18	5
19	6
20	8
21	4
22	7
23	8
24	9
25	3
26	5
27	7
28	9
29	10
30	4
31	6
32	8
33	10
34	11
35	2
36	4
37	8
38	10
39	12
40	6
41	9
42	11
43	12
44	13
45	2
46	6
47	8
48	11
49	13
50	14
51	4
52	6
53	10
54	12
55	14
56	15
57	4
58	8
59	10
60	13
61	15
62	16
63	5
64	7
65	9
66	11
67	13
68	15
69	17
70	2
71	4
72	7
73	10
74	12
75	14
76	16
77	17
78	18

n	a(n)
1	1
2	1
3	2
4	2
5	3
6	2
7	4
8	3
9	4
10	5
11	2
12	4
13	6
14	4
15	6
16	7
17	2
18	5
19	6
20	8
21	4
22	7
23	8
24	9
25	3
26	5
27	7
28	9
29	10
30	4
31	6
32	8
33	10
34	11
35	2
36	4
37	8
38	10
39	12
40	6
41	9
42	11
43	12
44	13
45	2
46	6
47	8
48	11
49	13
50	14
51	4
52	6
53	10
54	12
55	14
56	15
57	4
58	8
59	10
60	13
61	15
62	16
63	5
64	7
65	9
66	11
67	13
68	15
69	17
70	2
71	4
72	7
73	10
74	12
75	14
76	16
77	17
78	18