A349083 - cp's OEIS frontend

A349083 The number of three-term Egyptian fractions of rational numbers x/y, 0 < x/y < 1, ordered as below. The sequence is the number of (p,q,r) such that x/y = 1/p + 1/q + 1/r where p, q, and r are integers with p < q < r.

n	a(n)
1	6
2	15
3	5
4	22
5	6
6	3
7	30
8	9
9	7
10	2
11	45
12	15
13	6
14	5
15	1
16	36
17	14
18	6
19	5
20	3
21	1
22	62
23	22
24	16
25	6
26	5
27	3
28	2
29	69
30	21
31	15
32	4
33	9
34	5
35	2
36	1
37	84
38	30
39	15
40	9
41	6
42	7
43	2
44	2
45	1
46	56
47	22
48	13
49	7
50	3
51	5
52	2
53	0
54	0
55	0
56	142
57	45
58	22
59	15
60	12
61	6
62	9
63	5
64	3
65	1
66	2
67	53
68	17
69	8
70	4
71	5
72	1
73	6
74	3
75	1
76	1
77	1
78	0
79	124
80	36
81	27
82	14
83	18
84	6
85	6
86	5
87	2
88	3
89	1
90	1
91	0

[6, 15, 5, 22, 6, 3, 30, 9, 7, 2, 45, 15, 6, 5, 1, 36, 14, 6, 5, 3, 1, 62, 22, 16, 6, 5, 3, 2, 69, 21, 15, 4, 9, 5, 2, 1, 84, 30, 15, 9, 6, 7, 2, 2, 1, 56, 22, 13, 7, 3, 5, 2, 0, 0, 0, 142, 45, 22, 15, 12, 6, 9, 5, 3, 1, 2, 53, 17, 8, 4, 5, 1, 6, 3, 1, 1, 1, 0, 124, 36, 27, 14, 18, 6, 6, 5, 2, 3, 1, 1, 0]

cp's OEIS Frontend

A349083 The number of three-term Egyptian fractions of rational numbers x/y, 0 < x/y < 1, ordered as below. The sequence is the number of (p,q,r) such that x/y = 1/p + 1/q + 1/r where p, q, and r are integers with p < q < r.

Table of values

List of values

n	a(n)
1	6
2	15
3	5
4	22
5	6
6	3
7	30
8	9
9	7
10	2
11	45
12	15
13	6
14	5
15	1
16	36
17	14
18	6
19	5
20	3
21	1
22	62
23	22
24	16
25	6
26	5
27	3
28	2
29	69
30	21
31	15
32	4
33	9
34	5
35	2
36	1
37	84
38	30
39	15
40	9
41	6
42	7
43	2
44	2
45	1
46	56
47	22
48	13
49	7
50	3
51	5
52	2
53	0
54	0
55	0
56	142
57	45
58	22
59	15
60	12
61	6
62	9
63	5
64	3
65	1
66	2
67	53
68	17
69	8
70	4
71	5
72	1
73	6
74	3
75	1
76	1
77	1
78	0
79	124
80	36
81	27
82	14
83	18
84	6
85	6
86	5
87	2
88	3
89	1
90	1
91	0

n	a(n)
1	6
2	15
3	5
4	22
5	6
6	3
7	30
8	9
9	7
10	2
11	45
12	15
13	6
14	5
15	1
16	36
17	14
18	6
19	5
20	3
21	1
22	62
23	22
24	16
25	6
26	5
27	3
28	2
29	69
30	21
31	15
32	4
33	9
34	5
35	2
36	1
37	84
38	30
39	15
40	9
41	6
42	7
43	2
44	2
45	1
46	56
47	22
48	13
49	7
50	3
51	5
52	2
53	0
54	0
55	0
56	142
57	45
58	22
59	15
60	12
61	6
62	9
63	5
64	3
65	1
66	2
67	53
68	17
69	8
70	4
71	5
72	1
73	6
74	3
75	1
76	1
77	1
78	0
79	124
80	36
81	27
82	14
83	18
84	6
85	6
86	5
87	2
88	3
89	1
90	1
91	0

n	a(n)
1	6
2	15
3	5
4	22
5	6
6	3
7	30
8	9
9	7
10	2
11	45
12	15
13	6
14	5
15	1
16	36
17	14
18	6
19	5
20	3
21	1
22	62
23	22
24	16
25	6
26	5
27	3
28	2
29	69
30	21
31	15
32	4
33	9
34	5
35	2
36	1
37	84
38	30
39	15
40	9
41	6
42	7
43	2
44	2
45	1
46	56
47	22
48	13
49	7
50	3
51	5
52	2
53	0
54	0
55	0
56	142
57	45
58	22
59	15
60	12
61	6
62	9
63	5
64	3
65	1
66	2
67	53
68	17
69	8
70	4
71	5
72	1
73	6
74	3
75	1
76	1
77	1
78	0
79	124
80	36
81	27
82	14
83	18
84	6
85	6
86	5
87	2
88	3
89	1
90	1
91	0