A002100 - cp's OEIS frontend

A002100 a(n) = number of partitions of n into semiprimes (more precisely, number of ways of writing n as a sum of products of 2 distinct primes).

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	1
7	0
8	0
9	0
10	1
11	0
12	1
13	0
14	1
15	1
16	1
17	0
18	1
19	0
20	2
21	2
22	2
23	0
24	2
25	1
26	3
27	2
28	3
29	1
30	4
31	2
32	4
33	3
34	5
35	4
36	7
37	3
38	6
39	5
40	8
41	6
42	10
43	6
44	10
45	9
46	12
47	9
48	15
49	11
50	16
51	14
52	18
53	14
54	22
55	19
56	25
57	22
58	27
59	23
60	33
61	29
62	36
63	33
64	40
65	38
66	49
67	43
68	53
69	51
70	61
71	57
72	71
73	64
74	77
75	76
76	89
77	86
78	102
79	96
80	113
81	111
82	128
83	125

[0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 3, 2, 3, 1, 4, 2, 4, 3, 5, 4, 7, 3, 6, 5, 8, 6, 10, 6, 10, 9, 12, 9, 15, 11, 16, 14, 18, 14, 22, 19, 25, 22, 27, 23, 33, 29, 36, 33, 40, 38, 49, 43, 53, 51, 61, 57, 71, 64, 77, 76, 89, 86, 102, 96, 113, 111, 128, 125]

cp's OEIS Frontend

A002100 a(n) = number of partitions of n into semiprimes (more precisely, number of ways of writing n as a sum of products of 2 distinct primes).

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	1
7	0
8	0
9	0
10	1
11	0
12	1
13	0
14	1
15	1
16	1
17	0
18	1
19	0
20	2
21	2
22	2
23	0
24	2
25	1
26	3
27	2
28	3
29	1
30	4
31	2
32	4
33	3
34	5
35	4
36	7
37	3
38	6
39	5
40	8
41	6
42	10
43	6
44	10
45	9
46	12
47	9
48	15
49	11
50	16
51	14
52	18
53	14
54	22
55	19
56	25
57	22
58	27
59	23
60	33
61	29
62	36
63	33
64	40
65	38
66	49
67	43
68	53
69	51
70	61
71	57
72	71
73	64
74	77
75	76
76	89
77	86
78	102
79	96
80	113
81	111
82	128
83	125

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	1
7	0
8	0
9	0
10	1
11	0
12	1
13	0
14	1
15	1
16	1
17	0
18	1
19	0
20	2
21	2
22	2
23	0
24	2
25	1
26	3
27	2
28	3
29	1
30	4
31	2
32	4
33	3
34	5
35	4
36	7
37	3
38	6
39	5
40	8
41	6
42	10
43	6
44	10
45	9
46	12
47	9
48	15
49	11
50	16
51	14
52	18
53	14
54	22
55	19
56	25
57	22
58	27
59	23
60	33
61	29
62	36
63	33
64	40
65	38
66	49
67	43
68	53
69	51
70	61
71	57
72	71
73	64
74	77
75	76
76	89
77	86
78	102
79	96
80	113
81	111
82	128
83	125

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	1
7	0
8	0
9	0
10	1
11	0
12	1
13	0
14	1
15	1
16	1
17	0
18	1
19	0
20	2
21	2
22	2
23	0
24	2
25	1
26	3
27	2
28	3
29	1
30	4
31	2
32	4
33	3
34	5
35	4
36	7
37	3
38	6
39	5
40	8
41	6
42	10
43	6
44	10
45	9
46	12
47	9
48	15
49	11
50	16
51	14
52	18
53	14
54	22
55	19
56	25
57	22
58	27
59	23
60	33
61	29
62	36
63	33
64	40
65	38
66	49
67	43
68	53
69	51
70	61
71	57
72	71
73	64
74	77
75	76
76	89
77	86
78	102
79	96
80	113
81	111
82	128
83	125