A375207 - cp's OEIS frontend

A375207 a(1)=1; thereafter a(n) is the smallest k for which the subsequence a(n-k..n-1) has a distinct sequence of first differences from that of any other subsequence of the sequence thus far.

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

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

cp's OEIS Frontend

A375207 a(1)=1; thereafter a(n) is the smallest k for which the subsequence a(n-k..n-1) has a distinct sequence of first differences 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	2
5	3
6	4
7	3
8	2
9	3
10	3
11	4
12	5
13	6
14	4
15	2
16	3
17	3
18	4
19	5
20	6
21	7
22	5
23	6
24	4
25	4
26	3
27	3
28	3
29	3
30	4
31	4
32	5
33	6
34	7
35	7
36	4
37	2
38	3
39	4
40	4
41	5
42	5
43	5
44	4
45	4
46	5
47	4
48	4
49	4
50	5
51	5
52	6
53	7
54	8
55	9
56	8
57	5
58	3
59	4
60	5
61	6
62	5
63	6
64	4
65	4
66	5
67	4
68	5
69	5
70	5
71	5
72	5
73	5
74	6
75	6
76	7
77	8
78	9
79	10
80	10
81	6
82	2
83	3
84	3
85	4
86	5
87	6
88	7

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

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