A361429 - cp's OEIS frontend

A361429 a(n) is the smallest positive number not among the terms between a(n-1) and the most recent previous term whose value appears with the same frequency (inclusive); if no such term exists, set a(n)=1; a(1)=1.

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	4
7	1
8	2
9	5
10	3
11	1
12	4
13	2
14	6
15	7
16	1
17	3
18	4
19	1
20	2
21	5
22	8
23	6
24	1
25	3
26	4
27	1
28	2
29	7
30	5
31	9
32	10
33	1
34	3
35	4
36	1
37	2
38	6
39	7
40	1
41	3
42	4
43	1
44	2
45	5
46	8
47	11
48	9
49	1
50	3
51	4
52	1
53	2
54	6
55	7
56	1
57	3
58	4
59	1
60	2
61	5
62	10
63	8
64	12
65	13
66	1
67	3
68	4
69	1
70	2
71	6
72	7
73	1
74	3
75	4
76	1
77	2
78	5
79	9
80	10
81	1
82	3
83	4
84	1
85	2
86	6

[1, 1, 2, 1, 3, 4, 1, 2, 5, 3, 1, 4, 2, 6, 7, 1, 3, 4, 1, 2, 5, 8, 6, 1, 3, 4, 1, 2, 7, 5, 9, 10, 1, 3, 4, 1, 2, 6, 7, 1, 3, 4, 1, 2, 5, 8, 11, 9, 1, 3, 4, 1, 2, 6, 7, 1, 3, 4, 1, 2, 5, 10, 8, 12, 13, 1, 3, 4, 1, 2, 6, 7, 1, 3, 4, 1, 2, 5, 9, 10, 1, 3, 4, 1, 2, 6]

cp's OEIS Frontend

A361429 a(n) is the smallest positive number not among the terms between a(n-1) and the most recent previous term whose value appears with the same frequency (inclusive); if no such term exists, set a(n)=1; a(1)=1.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	4
7	1
8	2
9	5
10	3
11	1
12	4
13	2
14	6
15	7
16	1
17	3
18	4
19	1
20	2
21	5
22	8
23	6
24	1
25	3
26	4
27	1
28	2
29	7
30	5
31	9
32	10
33	1
34	3
35	4
36	1
37	2
38	6
39	7
40	1
41	3
42	4
43	1
44	2
45	5
46	8
47	11
48	9
49	1
50	3
51	4
52	1
53	2
54	6
55	7
56	1
57	3
58	4
59	1
60	2
61	5
62	10
63	8
64	12
65	13
66	1
67	3
68	4
69	1
70	2
71	6
72	7
73	1
74	3
75	4
76	1
77	2
78	5
79	9
80	10
81	1
82	3
83	4
84	1
85	2
86	6

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	4
7	1
8	2
9	5
10	3
11	1
12	4
13	2
14	6
15	7
16	1
17	3
18	4
19	1
20	2
21	5
22	8
23	6
24	1
25	3
26	4
27	1
28	2
29	7
30	5
31	9
32	10
33	1
34	3
35	4
36	1
37	2
38	6
39	7
40	1
41	3
42	4
43	1
44	2
45	5
46	8
47	11
48	9
49	1
50	3
51	4
52	1
53	2
54	6
55	7
56	1
57	3
58	4
59	1
60	2
61	5
62	10
63	8
64	12
65	13
66	1
67	3
68	4
69	1
70	2
71	6
72	7
73	1
74	3
75	4
76	1
77	2
78	5
79	9
80	10
81	1
82	3
83	4
84	1
85	2
86	6

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	4
7	1
8	2
9	5
10	3
11	1
12	4
13	2
14	6
15	7
16	1
17	3
18	4
19	1
20	2
21	5
22	8
23	6
24	1
25	3
26	4
27	1
28	2
29	7
30	5
31	9
32	10
33	1
34	3
35	4
36	1
37	2
38	6
39	7
40	1
41	3
42	4
43	1
44	2
45	5
46	8
47	11
48	9
49	1
50	3
51	4
52	1
53	2
54	6
55	7
56	1
57	3
58	4
59	1
60	2
61	5
62	10
63	8
64	12
65	13
66	1
67	3
68	4
69	1
70	2
71	6
72	7
73	1
74	3
75	4
76	1
77	2
78	5
79	9
80	10
81	1
82	3
83	4
84	1
85	2
86	6