A317389 - cp's OEIS frontend

A317389 a(0) = 0, a(1) = a(2) = 1; for n >= 3, a(n) = freq(a(g(n)),n)*freq(a(n-g(n)),n) where g = A000195 and freq(i, j) is the number of times i appears in the terms a(0) .. a(j-1).

n	a(n)
0	0
1	1
2	1
3	4
4	2
5	2
6	4
7	4
8	6
9	6
10	4
11	4
12	10
13	10
14	4
15	4
16	14
17	14
18	4
19	4
20	18
21	81
22	81
23	9
24	18
25	18
26	9
27	27
28	27
29	18
30	18
31	18
32	54
33	54
34	54
35	27
36	27
37	27
38	45
39	45
40	45
41	27
42	27
43	27
44	72
45	72
46	72
47	27
48	27
49	27
50	99
51	99
52	99
53	27
54	27
55	6
56	6
57	26
58	26
59	8
60	8
61	4
62	4
63	4
64	4
65	26
66	26
67	26
68	26
69	12
70	12
71	12
72	12
73	8
74	8
75	8
76	8
77	12
78	12
79	12
80	12
81	16
82	16
83	16
84	16
85	8
86	8
87	8
88	8
89	20
90	20
91	20

[0, 1, 1, 4, 2, 2, 4, 4, 6, 6, 4, 4, 10, 10, 4, 4, 14, 14, 4, 4, 18, 81, 81, 9, 18, 18, 9, 27, 27, 18, 18, 18, 54, 54, 54, 27, 27, 27, 45, 45, 45, 27, 27, 27, 72, 72, 72, 27, 27, 27, 99, 99, 99, 27, 27, 6, 6, 26, 26, 8, 8, 4, 4, 4, 4, 26, 26, 26, 26, 12, 12, 12, 12, 8, 8, 8, 8, 12, 12, 12, 12, 16, 16, 16, 16, 8, 8, 8, 8, 20, 20, 20]

cp's OEIS Frontend

A317389 a(0) = 0, a(1) = a(2) = 1; for n >= 3, a(n) = freq(a(g(n)),n)*freq(a(n-g(n)),n) where g = A000195 and 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	0
1	1
2	1
3	4
4	2
5	2
6	4
7	4
8	6
9	6
10	4
11	4
12	10
13	10
14	4
15	4
16	14
17	14
18	4
19	4
20	18
21	81
22	81
23	9
24	18
25	18
26	9
27	27
28	27
29	18
30	18
31	18
32	54
33	54
34	54
35	27
36	27
37	27
38	45
39	45
40	45
41	27
42	27
43	27
44	72
45	72
46	72
47	27
48	27
49	27
50	99
51	99
52	99
53	27
54	27
55	6
56	6
57	26
58	26
59	8
60	8
61	4
62	4
63	4
64	4
65	26
66	26
67	26
68	26
69	12
70	12
71	12
72	12
73	8
74	8
75	8
76	8
77	12
78	12
79	12
80	12
81	16
82	16
83	16
84	16
85	8
86	8
87	8
88	8
89	20
90	20
91	20

n	a(n)
0	0
1	1
2	1
3	4
4	2
5	2
6	4
7	4
8	6
9	6
10	4
11	4
12	10
13	10
14	4
15	4
16	14
17	14
18	4
19	4
20	18
21	81
22	81
23	9
24	18
25	18
26	9
27	27
28	27
29	18
30	18
31	18
32	54
33	54
34	54
35	27
36	27
37	27
38	45
39	45
40	45
41	27
42	27
43	27
44	72
45	72
46	72
47	27
48	27
49	27
50	99
51	99
52	99
53	27
54	27
55	6
56	6
57	26
58	26
59	8
60	8
61	4
62	4
63	4
64	4
65	26
66	26
67	26
68	26
69	12
70	12
71	12
72	12
73	8
74	8
75	8
76	8
77	12
78	12
79	12
80	12
81	16
82	16
83	16
84	16
85	8
86	8
87	8
88	8
89	20
90	20
91	20

n	a(n)
0	0
1	1
2	1
3	4
4	2
5	2
6	4
7	4
8	6
9	6
10	4
11	4
12	10
13	10
14	4
15	4
16	14
17	14
18	4
19	4
20	18
21	81
22	81
23	9
24	18
25	18
26	9
27	27
28	27
29	18
30	18
31	18
32	54
33	54
34	54
35	27
36	27
37	27
38	45
39	45
40	45
41	27
42	27
43	27
44	72
45	72
46	72
47	27
48	27
49	27
50	99
51	99
52	99
53	27
54	27
55	6
56	6
57	26
58	26
59	8
60	8
61	4
62	4
63	4
64	4
65	26
66	26
67	26
68	26
69	12
70	12
71	12
72	12
73	8
74	8
75	8
76	8
77	12
78	12
79	12
80	12
81	16
82	16
83	16
84	16
85	8
86	8
87	8
88	8
89	20
90	20
91	20