A384660 - cp's OEIS frontend

A384660 a(1) = 1. Thereafter a(n) = a(a(n-1)) if a(n-1) is a novel term, or n - S(n) if a(n-1) is a repeat term. S(n) is the sum of distinct terms in multiset {a(1),a(2),..a(n-1)}.

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	2
8	2
9	3
10	4
11	1
12	2
13	3
14	4
15	5
16	2
17	2
18	3
19	4
20	5
21	6
22	3
23	2
24	3
25	4
26	5
27	6
28	7
29	2
30	2
31	3
32	4
33	5
34	6
35	7
36	8
37	2
38	2
39	3
40	4
41	5
42	6
43	7
44	8
45	9
46	3
47	2
48	3
49	4
50	5
51	6
52	7
53	8
54	9
55	10
56	4
57	2
58	3
59	4
60	5
61	6
62	7
63	8
64	9
65	10
66	11
67	1
68	2
69	3
70	4
71	5
72	6
73	7
74	8
75	9
76	10
77	11
78	12
79	2
80	2
81	3
82	4
83	5
84	6
85	7

[1, 1, 2, 1, 2, 3, 2, 2, 3, 4, 1, 2, 3, 4, 5, 2, 2, 3, 4, 5, 6, 3, 2, 3, 4, 5, 6, 7, 2, 2, 3, 4, 5, 6, 7, 8, 2, 2, 3, 4, 5, 6, 7, 8, 9, 3, 2, 3, 4, 5, 6, 7, 8, 9, 10, 4, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 2, 2, 3, 4, 5, 6, 7]

cp's OEIS Frontend

A384660 a(1) = 1. Thereafter a(n) = a(a(n-1)) if a(n-1) is a novel term, or n - S(n) if a(n-1) is a repeat term. S(n) is the sum of distinct terms in multiset {a(1),a(2),..a(n-1)}.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	2
8	2
9	3
10	4
11	1
12	2
13	3
14	4
15	5
16	2
17	2
18	3
19	4
20	5
21	6
22	3
23	2
24	3
25	4
26	5
27	6
28	7
29	2
30	2
31	3
32	4
33	5
34	6
35	7
36	8
37	2
38	2
39	3
40	4
41	5
42	6
43	7
44	8
45	9
46	3
47	2
48	3
49	4
50	5
51	6
52	7
53	8
54	9
55	10
56	4
57	2
58	3
59	4
60	5
61	6
62	7
63	8
64	9
65	10
66	11
67	1
68	2
69	3
70	4
71	5
72	6
73	7
74	8
75	9
76	10
77	11
78	12
79	2
80	2
81	3
82	4
83	5
84	6
85	7

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	2
8	2
9	3
10	4
11	1
12	2
13	3
14	4
15	5
16	2
17	2
18	3
19	4
20	5
21	6
22	3
23	2
24	3
25	4
26	5
27	6
28	7
29	2
30	2
31	3
32	4
33	5
34	6
35	7
36	8
37	2
38	2
39	3
40	4
41	5
42	6
43	7
44	8
45	9
46	3
47	2
48	3
49	4
50	5
51	6
52	7
53	8
54	9
55	10
56	4
57	2
58	3
59	4
60	5
61	6
62	7
63	8
64	9
65	10
66	11
67	1
68	2
69	3
70	4
71	5
72	6
73	7
74	8
75	9
76	10
77	11
78	12
79	2
80	2
81	3
82	4
83	5
84	6
85	7

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	2
8	2
9	3
10	4
11	1
12	2
13	3
14	4
15	5
16	2
17	2
18	3
19	4
20	5
21	6
22	3
23	2
24	3
25	4
26	5
27	6
28	7
29	2
30	2
31	3
32	4
33	5
34	6
35	7
36	8
37	2
38	2
39	3
40	4
41	5
42	6
43	7
44	8
45	9
46	3
47	2
48	3
49	4
50	5
51	6
52	7
53	8
54	9
55	10
56	4
57	2
58	3
59	4
60	5
61	6
62	7
63	8
64	9
65	10
66	11
67	1
68	2
69	3
70	4
71	5
72	6
73	7
74	8
75	9
76	10
77	11
78	12
79	2
80	2
81	3
82	4
83	5
84	6
85	7