A381169 - cp's OEIS frontend

A381169 List of twin prime averages (A014574) is partitioned by including as many elements as possible in the n-th partition, L_n, such that any gap in L_n is smaller than the gap between L_n and L_(n-1) but not bigger than the first gap in L_n. a(n) is the number of elements in L_n.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	2
10	3
11	2
12	2
13	1
14	1
15	2
16	1
17	6
18	3
19	2
20	2
21	2
22	1
23	1
24	5
25	2
26	2
27	2
28	3
29	1
30	2
31	2
32	2
33	2
34	3
35	2
36	2
37	1
38	2
39	4
40	2
41	2
42	2
43	2
44	5
45	2
46	2
47	1
48	1
49	1
50	3
51	2
52	2
53	1
54	3
55	3
56	2
57	1
58	4
59	2
60	3
61	2
62	2
63	1
64	2
65	2
66	3
67	3
68	1
69	3
70	2
71	1
72	2
73	1
74	1
75	2
76	3
77	3
78	1
79	1
80	2
81	2
82	3
83	2
84	2
85	1
86	5
87	2

[1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 1, 2, 1, 6, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 4, 2, 2, 2, 2, 5, 2, 2, 1, 1, 1, 3, 2, 2, 1, 3, 3, 2, 1, 4, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 1, 2, 1, 1, 2, 3, 3, 1, 1, 2, 2, 3, 2, 2, 1, 5, 2]

cp's OEIS Frontend

A381169 List of twin prime averages (A014574) is partitioned by including as many elements as possible in the n-th partition, L_n, such that any gap in L_n is smaller than the gap between L_n and L_(n-1) but not bigger than the first gap in L_n. a(n) is the number of elements in L_n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	2
10	3
11	2
12	2
13	1
14	1
15	2
16	1
17	6
18	3
19	2
20	2
21	2
22	1
23	1
24	5
25	2
26	2
27	2
28	3
29	1
30	2
31	2
32	2
33	2
34	3
35	2
36	2
37	1
38	2
39	4
40	2
41	2
42	2
43	2
44	5
45	2
46	2
47	1
48	1
49	1
50	3
51	2
52	2
53	1
54	3
55	3
56	2
57	1
58	4
59	2
60	3
61	2
62	2
63	1
64	2
65	2
66	3
67	3
68	1
69	3
70	2
71	1
72	2
73	1
74	1
75	2
76	3
77	3
78	1
79	1
80	2
81	2
82	3
83	2
84	2
85	1
86	5
87	2

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	2
10	3
11	2
12	2
13	1
14	1
15	2
16	1
17	6
18	3
19	2
20	2
21	2
22	1
23	1
24	5
25	2
26	2
27	2
28	3
29	1
30	2
31	2
32	2
33	2
34	3
35	2
36	2
37	1
38	2
39	4
40	2
41	2
42	2
43	2
44	5
45	2
46	2
47	1
48	1
49	1
50	3
51	2
52	2
53	1
54	3
55	3
56	2
57	1
58	4
59	2
60	3
61	2
62	2
63	1
64	2
65	2
66	3
67	3
68	1
69	3
70	2
71	1
72	2
73	1
74	1
75	2
76	3
77	3
78	1
79	1
80	2
81	2
82	3
83	2
84	2
85	1
86	5
87	2

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	2
10	3
11	2
12	2
13	1
14	1
15	2
16	1
17	6
18	3
19	2
20	2
21	2
22	1
23	1
24	5
25	2
26	2
27	2
28	3
29	1
30	2
31	2
32	2
33	2
34	3
35	2
36	2
37	1
38	2
39	4
40	2
41	2
42	2
43	2
44	5
45	2
46	2
47	1
48	1
49	1
50	3
51	2
52	2
53	1
54	3
55	3
56	2
57	1
58	4
59	2
60	3
61	2
62	2
63	1
64	2
65	2
66	3
67	3
68	1
69	3
70	2
71	1
72	2
73	1
74	1
75	2
76	3
77	3
78	1
79	1
80	2
81	2
82	3
83	2
84	2
85	1
86	5
87	2