A205601 - cp's OEIS frontend

A205601 Goldbach's problem extended to division: number of decompositions of 2n into the floor of unordered ratios of two primes, floor(q/p) = 2n, where p < 2n < q.

n	a(n)
1	0
2	1
3	3
4	5
5	4
6	5
7	10
8	5
9	10
10	16
11	12
12	17
13	18
14	16
15	19
16	27
17	23
18	22
19	34
20	27
21	34
22	39
23	39
24	45
25	51
26	41
27	50
28	51
29	44
30	57
31	68
32	71
33	63
34	74
35	63
36	76
37	87
38	84
39	89
40	104
41	94
42	108
43	111
44	99
45	117
46	116
47	120
48	104
49	126
50	114
51	133
52	146
53	149
54	146
55	166
56	148
57	190
58	178
59	182
60	170
61	179
62	173

[0, 1, 3, 5, 4, 5, 10, 5, 10, 16, 12, 17, 18, 16, 19, 27, 23, 22, 34, 27, 34, 39, 39, 45, 51, 41, 50, 51, 44, 57, 68, 71, 63, 74, 63, 76, 87, 84, 89, 104, 94, 108, 111, 99, 117, 116, 120, 104, 126, 114, 133, 146, 149, 146, 166, 148, 190, 178, 182, 170, 179, 173]

cp's OEIS Frontend

A205601 Goldbach's problem extended to division: number of decompositions of 2n into the floor of unordered ratios of two primes, floor(q/p) = 2n, where p < 2n < q.

Table of values

List of values

n	a(n)
1	0
2	1
3	3
4	5
5	4
6	5
7	10
8	5
9	10
10	16
11	12
12	17
13	18
14	16
15	19
16	27
17	23
18	22
19	34
20	27
21	34
22	39
23	39
24	45
25	51
26	41
27	50
28	51
29	44
30	57
31	68
32	71
33	63
34	74
35	63
36	76
37	87
38	84
39	89
40	104
41	94
42	108
43	111
44	99
45	117
46	116
47	120
48	104
49	126
50	114
51	133
52	146
53	149
54	146
55	166
56	148
57	190
58	178
59	182
60	170
61	179
62	173

n	a(n)
1	0
2	1
3	3
4	5
5	4
6	5
7	10
8	5
9	10
10	16
11	12
12	17
13	18
14	16
15	19
16	27
17	23
18	22
19	34
20	27
21	34
22	39
23	39
24	45
25	51
26	41
27	50
28	51
29	44
30	57
31	68
32	71
33	63
34	74
35	63
36	76
37	87
38	84
39	89
40	104
41	94
42	108
43	111
44	99
45	117
46	116
47	120
48	104
49	126
50	114
51	133
52	146
53	149
54	146
55	166
56	148
57	190
58	178
59	182
60	170
61	179
62	173

n	a(n)
1	0
2	1
3	3
4	5
5	4
6	5
7	10
8	5
9	10
10	16
11	12
12	17
13	18
14	16
15	19
16	27
17	23
18	22
19	34
20	27
21	34
22	39
23	39
24	45
25	51
26	41
27	50
28	51
29	44
30	57
31	68
32	71
33	63
34	74
35	63
36	76
37	87
38	84
39	89
40	104
41	94
42	108
43	111
44	99
45	117
46	116
47	120
48	104
49	126
50	114
51	133
52	146
53	149
54	146
55	166
56	148
57	190
58	178
59	182
60	170
61	179
62	173