A049986 - cp's OEIS frontend

A049986 a(n) is the number of arithmetic progressions of 4 or more positive integers, strictly increasing with sum n.

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	1
11	0
12	0
13	0
14	1
15	1
16	1
17	0
18	1
19	0
20	2
21	1
22	2
23	0
24	1
25	2
26	2
27	1
28	3
29	0
30	4
31	0
32	2
33	1
34	3
35	4
36	4
37	0
38	3
39	1
40	6
41	0
42	5
43	0
44	4
45	6
46	4
47	0
48	4
49	2
50	8
51	2
52	5
53	0
54	6
55	6
56	6
57	2
58	5
59	0
60	11
61	0
62	5
63	5
64	6
65	7
66	8
67	0
68	6
69	2
70	15
71	0
72	9
73	0
74	6
75	10
76	7
77	4
78	9
79	0
80	14
81	5
82	7
83	0
84	12
85	9
86	7
87	3

[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 3, 0, 4, 0, 2, 1, 3, 4, 4, 0, 3, 1, 6, 0, 5, 0, 4, 6, 4, 0, 4, 2, 8, 2, 5, 0, 6, 6, 6, 2, 5, 0, 11, 0, 5, 5, 6, 7, 8, 0, 6, 2, 15, 0, 9, 0, 6, 10, 7, 4, 9, 0, 14, 5, 7, 0, 12, 9, 7, 3]

cp's OEIS Frontend

A049986 a(n) is the number of arithmetic progressions of 4 or more positive integers, strictly increasing with sum n.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	1
11	0
12	0
13	0
14	1
15	1
16	1
17	0
18	1
19	0
20	2
21	1
22	2
23	0
24	1
25	2
26	2
27	1
28	3
29	0
30	4
31	0
32	2
33	1
34	3
35	4
36	4
37	0
38	3
39	1
40	6
41	0
42	5
43	0
44	4
45	6
46	4
47	0
48	4
49	2
50	8
51	2
52	5
53	0
54	6
55	6
56	6
57	2
58	5
59	0
60	11
61	0
62	5
63	5
64	6
65	7
66	8
67	0
68	6
69	2
70	15
71	0
72	9
73	0
74	6
75	10
76	7
77	4
78	9
79	0
80	14
81	5
82	7
83	0
84	12
85	9
86	7
87	3

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	1
11	0
12	0
13	0
14	1
15	1
16	1
17	0
18	1
19	0
20	2
21	1
22	2
23	0
24	1
25	2
26	2
27	1
28	3
29	0
30	4
31	0
32	2
33	1
34	3
35	4
36	4
37	0
38	3
39	1
40	6
41	0
42	5
43	0
44	4
45	6
46	4
47	0
48	4
49	2
50	8
51	2
52	5
53	0
54	6
55	6
56	6
57	2
58	5
59	0
60	11
61	0
62	5
63	5
64	6
65	7
66	8
67	0
68	6
69	2
70	15
71	0
72	9
73	0
74	6
75	10
76	7
77	4
78	9
79	0
80	14
81	5
82	7
83	0
84	12
85	9
86	7
87	3

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	1
11	0
12	0
13	0
14	1
15	1
16	1
17	0
18	1
19	0
20	2
21	1
22	2
23	0
24	1
25	2
26	2
27	1
28	3
29	0
30	4
31	0
32	2
33	1
34	3
35	4
36	4
37	0
38	3
39	1
40	6
41	0
42	5
43	0
44	4
45	6
46	4
47	0
48	4
49	2
50	8
51	2
52	5
53	0
54	6
55	6
56	6
57	2
58	5
59	0
60	11
61	0
62	5
63	5
64	6
65	7
66	8
67	0
68	6
69	2
70	15
71	0
72	9
73	0
74	6
75	10
76	7
77	4
78	9
79	0
80	14
81	5
82	7
83	0
84	12
85	9
86	7
87	3