A049992 - cp's OEIS frontend

A049992 a(n) is the number of arithmetic progressions of 3 or more positive integers, nondecreasing with sum n.

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

[0, 0, 1, 1, 1, 3, 1, 2, 4, 3, 1, 7, 1, 3, 8, 4, 1, 10, 1, 6, 10, 4, 1, 14, 4, 4, 12, 7, 1, 19, 1, 6, 14, 5, 7, 22, 1, 5, 16, 12, 1, 24, 1, 8, 25, 6, 1, 27, 4, 12, 21, 9, 1, 29, 9, 12, 23, 7, 1, 40, 1, 7, 30, 11, 10, 35, 1, 10, 27, 21, 1, 42, 1, 8, 39, 11, 7, 40, 1, 22, 35, 9, 1, 49, 12, 9, 34]

cp's OEIS Frontend

A049992 a(n) is the number of arithmetic progressions of 3 or more positive integers, nondecreasing with sum n.

Table of values

List of values

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

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

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