A378876 - cp's OEIS frontend

A378876 a(1)=1; thereafter a(n) is the smallest k for which the subsequence a(n-k..n-1) has a distinct multiset from that of any other subsequence of the sequence thus far.

n	a(n)
1	1
2	1
3	2
4	1
5	4
6	1
7	3
8	1
9	3
10	3
11	2
12	2
13	2
14	3
15	6
16	1
17	2
18	3
19	3
20	6
21	3
22	4
23	2
24	2
25	3
26	5
27	1
28	2
29	3
30	5
31	5
32	2
33	2
34	3
35	6
36	5
37	2
38	3
39	5
40	5
41	5
42	3
43	5
44	5
45	6
46	3
47	5
48	9
49	1
50	2
51	3
52	4
53	4
54	2
55	3
56	5
57	4
58	2
59	3
60	5
61	5
62	6
63	6
64	2
65	2
66	3
67	5
68	8
69	1
70	2
71	3
72	4
73	5
74	5
75	3
76	5
77	5
78	6
79	7
80	1
81	2
82	3
83	4
84	5
85	6
86	3
87	5
88	5

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

cp's OEIS Frontend

A378876 a(1)=1; thereafter a(n) is the smallest k for which the subsequence a(n-k..n-1) has a distinct multiset from that of any other subsequence of the sequence thus far.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	4
6	1
7	3
8	1
9	3
10	3
11	2
12	2
13	2
14	3
15	6
16	1
17	2
18	3
19	3
20	6
21	3
22	4
23	2
24	2
25	3
26	5
27	1
28	2
29	3
30	5
31	5
32	2
33	2
34	3
35	6
36	5
37	2
38	3
39	5
40	5
41	5
42	3
43	5
44	5
45	6
46	3
47	5
48	9
49	1
50	2
51	3
52	4
53	4
54	2
55	3
56	5
57	4
58	2
59	3
60	5
61	5
62	6
63	6
64	2
65	2
66	3
67	5
68	8
69	1
70	2
71	3
72	4
73	5
74	5
75	3
76	5
77	5
78	6
79	7
80	1
81	2
82	3
83	4
84	5
85	6
86	3
87	5
88	5

n	a(n)
1	1
2	1
3	2
4	1
5	4
6	1
7	3
8	1
9	3
10	3
11	2
12	2
13	2
14	3
15	6
16	1
17	2
18	3
19	3
20	6
21	3
22	4
23	2
24	2
25	3
26	5
27	1
28	2
29	3
30	5
31	5
32	2
33	2
34	3
35	6
36	5
37	2
38	3
39	5
40	5
41	5
42	3
43	5
44	5
45	6
46	3
47	5
48	9
49	1
50	2
51	3
52	4
53	4
54	2
55	3
56	5
57	4
58	2
59	3
60	5
61	5
62	6
63	6
64	2
65	2
66	3
67	5
68	8
69	1
70	2
71	3
72	4
73	5
74	5
75	3
76	5
77	5
78	6
79	7
80	1
81	2
82	3
83	4
84	5
85	6
86	3
87	5
88	5

n	a(n)
1	1
2	1
3	2
4	1
5	4
6	1
7	3
8	1
9	3
10	3
11	2
12	2
13	2
14	3
15	6
16	1
17	2
18	3
19	3
20	6
21	3
22	4
23	2
24	2
25	3
26	5
27	1
28	2
29	3
30	5
31	5
32	2
33	2
34	3
35	6
36	5
37	2
38	3
39	5
40	5
41	5
42	3
43	5
44	5
45	6
46	3
47	5
48	9
49	1
50	2
51	3
52	4
53	4
54	2
55	3
56	5
57	4
58	2
59	3
60	5
61	5
62	6
63	6
64	2
65	2
66	3
67	5
68	8
69	1
70	2
71	3
72	4
73	5
74	5
75	3
76	5
77	5
78	6
79	7
80	1
81	2
82	3
83	4
84	5
85	6
86	3
87	5
88	5