A329438 - cp's OEIS frontend

A329438 Expansion of Sum_{k>=1} (-1 + Product_{j>=1} (1 + x^(k*prime(j)))).

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	2
7	2
8	2
9	2
10	5
11	1
12	4
13	2
14	5
15	5
16	5
17	2
18	7
19	3
20	9
21	7
22	6
23	5
24	10
25	7
26	9
27	7
28	11
29	7
30	14
31	9
32	12
33	11
34	12
35	13
36	20
37	11
38	15
39	16
40	22
41	14
42	25
43	15
44	23
45	22
46	24
47	19
48	33
49	23
50	33
51	25
52	34
53	26
54	39
55	33
56	41
57	36
58	40
59	35
60	57
61	39
62	50
63	50
64	56
65	49
66	66
67	50
68	65
69	61
70	75
71	61

[0, 1, 1, 1, 2, 2, 2, 2, 2, 5, 1, 4, 2, 5, 5, 5, 2, 7, 3, 9, 7, 6, 5, 10, 7, 9, 7, 11, 7, 14, 9, 12, 11, 12, 13, 20, 11, 15, 16, 22, 14, 25, 15, 23, 22, 24, 19, 33, 23, 33, 25, 34, 26, 39, 33, 41, 36, 40, 35, 57, 39, 50, 50, 56, 49, 66, 50, 65, 61, 75, 61]

cp's OEIS Frontend

A329438 Expansion of Sum_{k>=1} (-1 + Product_{j>=1} (1 + x^(k*prime(j)))).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	2
7	2
8	2
9	2
10	5
11	1
12	4
13	2
14	5
15	5
16	5
17	2
18	7
19	3
20	9
21	7
22	6
23	5
24	10
25	7
26	9
27	7
28	11
29	7
30	14
31	9
32	12
33	11
34	12
35	13
36	20
37	11
38	15
39	16
40	22
41	14
42	25
43	15
44	23
45	22
46	24
47	19
48	33
49	23
50	33
51	25
52	34
53	26
54	39
55	33
56	41
57	36
58	40
59	35
60	57
61	39
62	50
63	50
64	56
65	49
66	66
67	50
68	65
69	61
70	75
71	61

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	2
7	2
8	2
9	2
10	5
11	1
12	4
13	2
14	5
15	5
16	5
17	2
18	7
19	3
20	9
21	7
22	6
23	5
24	10
25	7
26	9
27	7
28	11
29	7
30	14
31	9
32	12
33	11
34	12
35	13
36	20
37	11
38	15
39	16
40	22
41	14
42	25
43	15
44	23
45	22
46	24
47	19
48	33
49	23
50	33
51	25
52	34
53	26
54	39
55	33
56	41
57	36
58	40
59	35
60	57
61	39
62	50
63	50
64	56
65	49
66	66
67	50
68	65
69	61
70	75
71	61

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	2
7	2
8	2
9	2
10	5
11	1
12	4
13	2
14	5
15	5
16	5
17	2
18	7
19	3
20	9
21	7
22	6
23	5
24	10
25	7
26	9
27	7
28	11
29	7
30	14
31	9
32	12
33	11
34	12
35	13
36	20
37	11
38	15
39	16
40	22
41	14
42	25
43	15
44	23
45	22
46	24
47	19
48	33
49	23
50	33
51	25
52	34
53	26
54	39
55	33
56	41
57	36
58	40
59	35
60	57
61	39
62	50
63	50
64	56
65	49
66	66
67	50
68	65
69	61
70	75
71	61