A049994 - cp's OEIS frontend

A049994 a(n) is the number of arithmetic progressions of 4 or more positive integers, nondecreasing with sum n.

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	1
7	1
8	2
9	1
10	3
11	1
12	3
13	1
14	3
15	3
16	4
17	1
18	4
19	1
20	6
21	3
22	4
23	1
24	6
25	4
26	4
27	3
28	7
29	1
30	9
31	1
32	6
33	3
34	5
35	7
36	10
37	1
38	5
39	3
40	12
41	1
42	10
43	1
44	8
45	10
46	6
47	1
48	11
49	4
50	12
51	4
52	9
53	1
54	11
55	9
56	12
57	4
58	7
59	1
60	20
61	1
62	7
63	9
64	11
65	10
66	13
67	1
68	10
69	4
70	21
71	1
72	18
73	1
74	8
75	14
76	11
77	7
78	14
79	1
80	22
81	8
82	9
83	1
84	21
85	12
86	9
87	5
88	15
89	1
90	29
91	8

[0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 3, 1, 3, 3, 4, 1, 4, 1, 6, 3, 4, 1, 6, 4, 4, 3, 7, 1, 9, 1, 6, 3, 5, 7, 10, 1, 5, 3, 12, 1, 10, 1, 8, 10, 6, 1, 11, 4, 12, 4, 9, 1, 11, 9, 12, 4, 7, 1, 20, 1, 7, 9, 11, 10, 13, 1, 10, 4, 21, 1, 18, 1, 8, 14, 11, 7, 14, 1, 22, 8, 9, 1, 21, 12, 9, 5, 15, 1, 29, 8]

cp's OEIS Frontend

A049994 a(n) is the number of arithmetic progressions of 4 or more positive integers, nondecreasing with sum n.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	1
7	1
8	2
9	1
10	3
11	1
12	3
13	1
14	3
15	3
16	4
17	1
18	4
19	1
20	6
21	3
22	4
23	1
24	6
25	4
26	4
27	3
28	7
29	1
30	9
31	1
32	6
33	3
34	5
35	7
36	10
37	1
38	5
39	3
40	12
41	1
42	10
43	1
44	8
45	10
46	6
47	1
48	11
49	4
50	12
51	4
52	9
53	1
54	11
55	9
56	12
57	4
58	7
59	1
60	20
61	1
62	7
63	9
64	11
65	10
66	13
67	1
68	10
69	4
70	21
71	1
72	18
73	1
74	8
75	14
76	11
77	7
78	14
79	1
80	22
81	8
82	9
83	1
84	21
85	12
86	9
87	5
88	15
89	1
90	29
91	8

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	1
7	1
8	2
9	1
10	3
11	1
12	3
13	1
14	3
15	3
16	4
17	1
18	4
19	1
20	6
21	3
22	4
23	1
24	6
25	4
26	4
27	3
28	7
29	1
30	9
31	1
32	6
33	3
34	5
35	7
36	10
37	1
38	5
39	3
40	12
41	1
42	10
43	1
44	8
45	10
46	6
47	1
48	11
49	4
50	12
51	4
52	9
53	1
54	11
55	9
56	12
57	4
58	7
59	1
60	20
61	1
62	7
63	9
64	11
65	10
66	13
67	1
68	10
69	4
70	21
71	1
72	18
73	1
74	8
75	14
76	11
77	7
78	14
79	1
80	22
81	8
82	9
83	1
84	21
85	12
86	9
87	5
88	15
89	1
90	29
91	8

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	1
7	1
8	2
9	1
10	3
11	1
12	3
13	1
14	3
15	3
16	4
17	1
18	4
19	1
20	6
21	3
22	4
23	1
24	6
25	4
26	4
27	3
28	7
29	1
30	9
31	1
32	6
33	3
34	5
35	7
36	10
37	1
38	5
39	3
40	12
41	1
42	10
43	1
44	8
45	10
46	6
47	1
48	11
49	4
50	12
51	4
52	9
53	1
54	11
55	9
56	12
57	4
58	7
59	1
60	20
61	1
62	7
63	9
64	11
65	10
66	13
67	1
68	10
69	4
70	21
71	1
72	18
73	1
74	8
75	14
76	11
77	7
78	14
79	1
80	22
81	8
82	9
83	1
84	21
85	12
86	9
87	5
88	15
89	1
90	29
91	8