A079023 - cp's OEIS frontend

A079023 Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; then a(n) is the number of partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p <= A000230(n).

n	a(n)
1	1
2	2
3	6
4	9
5	14
6	24
7	11
8	56
9	46
10	45
11	46
12	109
13	82
14	97
15	287
16	124
17	51
18	390
19	507
20	434
21	691
22	332
23	1105
24	898
25	676
26	359
27	1080
28	1259
29	659
30	1688
31	540
32	1146
33	4081
34	1672
35	3081
36	985
37	3975
38	2423
39	4460
40	6512
41	2779
42	10324
43	1820
44	5458
45	10273
46	8196
47	9177
48	7085
49	6462
50	5037

[1, 2, 6, 9, 14, 24, 11, 56, 46, 45, 46, 109, 82, 97, 287, 124, 51, 390, 507, 434, 691, 332, 1105, 898, 676, 359, 1080, 1259, 659, 1688, 540, 1146, 4081, 1672, 3081, 985, 3975, 2423, 4460, 6512, 2779, 10324, 1820, 5458, 10273, 8196, 9177, 7085, 6462, 5037]

cp's OEIS Frontend

A079023 Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; then a(n) is the number of partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p <= A000230(n).

Table of values

List of values