A317127 - cp's OEIS frontend

A317127 a(0) = a(1) = a(2) = 1; for n >= 3, a(n) = freq(a(n-1),n) + freq(a(n-3),n) where freq(i, j) is the number of times i appears in the terms a(0) .. a(j-1).

n	a(n)
0	1
1	1
2	1
3	6
4	4
5	4
6	3
7	3
8	4
9	5
10	3
11	6
12	3
13	8
14	3
15	10
16	2
17	6
18	4
19	5
20	5
21	7
22	4
23	8
24	3
25	11
26	3
27	14
28	2
29	9
30	2
31	6
32	5
33	7
34	6
35	9
36	4
37	11
38	4
39	14
40	4
41	16
42	3
43	16
44	4
45	17
46	3
47	18
48	2
49	13
50	2
51	10
52	3
53	15
54	3
55	22
56	2
57	17
58	3
59	18
60	4
61	22
62	4
63	22
64	6
65	17
66	6
67	14
68	6
69	16
70	6
71	18
72	6
73	20
74	4
75	22
76	5
77	17
78	8
79	8
80	8
81	10
82	8
83	12
84	4
85	19
86	2
87	20
88	3
89	20
90	6
91	24
92	4

[1, 1, 1, 6, 4, 4, 3, 3, 4, 5, 3, 6, 3, 8, 3, 10, 2, 6, 4, 5, 5, 7, 4, 8, 3, 11, 3, 14, 2, 9, 2, 6, 5, 7, 6, 9, 4, 11, 4, 14, 4, 16, 3, 16, 4, 17, 3, 18, 2, 13, 2, 10, 3, 15, 3, 22, 2, 17, 3, 18, 4, 22, 4, 22, 6, 17, 6, 14, 6, 16, 6, 18, 6, 20, 4, 22, 5, 17, 8, 8, 8, 10, 8, 12, 4, 19, 2, 20, 3, 20, 6, 24, 4]

cp's OEIS Frontend

A317127 a(0) = a(1) = a(2) = 1; for n >= 3, a(n) = freq(a(n-1),n) + freq(a(n-3),n) where freq(i, j) is the number of times i appears in the terms a(0) .. a(j-1).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	6
4	4
5	4
6	3
7	3
8	4
9	5
10	3
11	6
12	3
13	8
14	3
15	10
16	2
17	6
18	4
19	5
20	5
21	7
22	4
23	8
24	3
25	11
26	3
27	14
28	2
29	9
30	2
31	6
32	5
33	7
34	6
35	9
36	4
37	11
38	4
39	14
40	4
41	16
42	3
43	16
44	4
45	17
46	3
47	18
48	2
49	13
50	2
51	10
52	3
53	15
54	3
55	22
56	2
57	17
58	3
59	18
60	4
61	22
62	4
63	22
64	6
65	17
66	6
67	14
68	6
69	16
70	6
71	18
72	6
73	20
74	4
75	22
76	5
77	17
78	8
79	8
80	8
81	10
82	8
83	12
84	4
85	19
86	2
87	20
88	3
89	20
90	6
91	24
92	4

n	a(n)
0	1
1	1
2	1
3	6
4	4
5	4
6	3
7	3
8	4
9	5
10	3
11	6
12	3
13	8
14	3
15	10
16	2
17	6
18	4
19	5
20	5
21	7
22	4
23	8
24	3
25	11
26	3
27	14
28	2
29	9
30	2
31	6
32	5
33	7
34	6
35	9
36	4
37	11
38	4
39	14
40	4
41	16
42	3
43	16
44	4
45	17
46	3
47	18
48	2
49	13
50	2
51	10
52	3
53	15
54	3
55	22
56	2
57	17
58	3
59	18
60	4
61	22
62	4
63	22
64	6
65	17
66	6
67	14
68	6
69	16
70	6
71	18
72	6
73	20
74	4
75	22
76	5
77	17
78	8
79	8
80	8
81	10
82	8
83	12
84	4
85	19
86	2
87	20
88	3
89	20
90	6
91	24
92	4

n	a(n)
0	1
1	1
2	1
3	6
4	4
5	4
6	3
7	3
8	4
9	5
10	3
11	6
12	3
13	8
14	3
15	10
16	2
17	6
18	4
19	5
20	5
21	7
22	4
23	8
24	3
25	11
26	3
27	14
28	2
29	9
30	2
31	6
32	5
33	7
34	6
35	9
36	4
37	11
38	4
39	14
40	4
41	16
42	3
43	16
44	4
45	17
46	3
47	18
48	2
49	13
50	2
51	10
52	3
53	15
54	3
55	22
56	2
57	17
58	3
59	18
60	4
61	22
62	4
63	22
64	6
65	17
66	6
67	14
68	6
69	16
70	6
71	18
72	6
73	20
74	4
75	22
76	5
77	17
78	8
79	8
80	8
81	10
82	8
83	12
84	4
85	19
86	2
87	20
88	3
89	20
90	6
91	24
92	4