A281273 - cp's OEIS frontend

A281273 Expansion of Product_{j>=1} 1/(1 - x^(Sum_{i=1..j} prime(i))).

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	1
7	1
8	1
9	1
10	3
11	1
12	3
13	1
14	3
15	3
16	3
17	4
18	3
19	4
20	6
21	4
22	7
23	4
24	7
25	7
26	7
27	9
28	8
29	9
30	12
31	9
32	14
33	10
34	15
35	14
36	15
37	17
38	17
39	18
40	22
41	19
42	25
43	21
44	27
45	27
46	28
47	31
48	31
49	33
50	38
51	36
52	42
53	39
54	45
55	47
56	49
57	52
58	55
59	55
60	64
61	61
62	70
63	67
64	74
65	77
66	81
67	84
68	91
69	89
70	102
71	98
72	110
73	109
74	116
75	123
76	126
77	133
78	141
79	141
80	156
81	153
82	168
83	169
84	178
85	188
86	193

[1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 3, 3, 4, 3, 4, 6, 4, 7, 4, 7, 7, 7, 9, 8, 9, 12, 9, 14, 10, 15, 14, 15, 17, 17, 18, 22, 19, 25, 21, 27, 27, 28, 31, 31, 33, 38, 36, 42, 39, 45, 47, 49, 52, 55, 55, 64, 61, 70, 67, 74, 77, 81, 84, 91, 89, 102, 98, 110, 109, 116, 123, 126, 133, 141, 141, 156, 153, 168, 169, 178, 188, 193]

cp's OEIS Frontend

A281273 Expansion of Product_{j>=1} 1/(1 - x^(Sum_{i=1..j} prime(i))).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	1
7	1
8	1
9	1
10	3
11	1
12	3
13	1
14	3
15	3
16	3
17	4
18	3
19	4
20	6
21	4
22	7
23	4
24	7
25	7
26	7
27	9
28	8
29	9
30	12
31	9
32	14
33	10
34	15
35	14
36	15
37	17
38	17
39	18
40	22
41	19
42	25
43	21
44	27
45	27
46	28
47	31
48	31
49	33
50	38
51	36
52	42
53	39
54	45
55	47
56	49
57	52
58	55
59	55
60	64
61	61
62	70
63	67
64	74
65	77
66	81
67	84
68	91
69	89
70	102
71	98
72	110
73	109
74	116
75	123
76	126
77	133
78	141
79	141
80	156
81	153
82	168
83	169
84	178
85	188
86	193

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	1
7	1
8	1
9	1
10	3
11	1
12	3
13	1
14	3
15	3
16	3
17	4
18	3
19	4
20	6
21	4
22	7
23	4
24	7
25	7
26	7
27	9
28	8
29	9
30	12
31	9
32	14
33	10
34	15
35	14
36	15
37	17
38	17
39	18
40	22
41	19
42	25
43	21
44	27
45	27
46	28
47	31
48	31
49	33
50	38
51	36
52	42
53	39
54	45
55	47
56	49
57	52
58	55
59	55
60	64
61	61
62	70
63	67
64	74
65	77
66	81
67	84
68	91
69	89
70	102
71	98
72	110
73	109
74	116
75	123
76	126
77	133
78	141
79	141
80	156
81	153
82	168
83	169
84	178
85	188
86	193

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	1
7	1
8	1
9	1
10	3
11	1
12	3
13	1
14	3
15	3
16	3
17	4
18	3
19	4
20	6
21	4
22	7
23	4
24	7
25	7
26	7
27	9
28	8
29	9
30	12
31	9
32	14
33	10
34	15
35	14
36	15
37	17
38	17
39	18
40	22
41	19
42	25
43	21
44	27
45	27
46	28
47	31
48	31
49	33
50	38
51	36
52	42
53	39
54	45
55	47
56	49
57	52
58	55
59	55
60	64
61	61
62	70
63	67
64	74
65	77
66	81
67	84
68	91
69	89
70	102
71	98
72	110
73	109
74	116
75	123
76	126
77	133
78	141
79	141
80	156
81	153
82	168
83	169
84	178
85	188
86	193