A239238 - cp's OEIS frontend

A239238 a(n) = |{0 <= k < n: q(n+k*(k+1)/2) + 1 is prime}|, where q(.) is the strict partition function given by A000009.

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

[1, 2, 3, 2, 3, 1, 4, 5, 2, 4, 5, 4, 4, 4, 2, 4, 3, 6, 3, 1, 3, 5, 5, 5, 2, 9, 8, 7, 5, 3, 3, 4, 3, 7, 4, 8, 6, 2, 6, 6, 5, 2, 5, 5, 3, 3, 4, 4, 7, 7, 8, 5, 5, 4, 8, 6, 3, 4, 3, 5, 11, 2, 2, 4, 6, 6, 5, 5, 4, 4, 5, 6, 6, 8, 4, 9, 4, 6, 4, 3]

cp's OEIS Frontend

A239238 a(n) = |{0 <= k < n: q(n+k*(k+1)/2) + 1 is prime}|, where q(.) is the strict partition function given by A000009.

Table of values

List of values

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

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

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