A226646 - cp's OEIS frontend

A226646 Number of ways to express m/n as Egyptian fractions in just three terms, that is, m/n = 1/x + 1/y + 1/z satisfying 1 <= x <= y <= z and read by antidiagonals.

n	a(n)
1	3
2	1
3	10
4	1
5	3
6	21
7	0
8	3
9	8
10	28
11	0
12	1
13	3
14	10
15	36
16	0
17	1
18	3
19	6
20	12
21	57
22	0
23	1
24	2
25	3
26	10
27	21
28	42
29	0
30	0
31	1
32	4
33	2
34	10
35	17
36	70
37	0
38	0
39	1
40	3
41	3
42	8
43	9
44	28
45	79
46	0
47	0
48	0
49	1
50	3
51	4
52	7
53	20
54	26
55	96
56	0
57	0
58	1
59	1
60	2
61	3
62	4
63	10
64	21
65	36
66	62
67	0
68	0
69	0
70	1
71	1
72	7
73	1
74	7
75	6
76	21
77	25
78	160
79	0
80	0
81	0
82	1
83	0
84	3
85	3
86	6
87	12
88	12
89	16
90	57
91	59

[3, 1, 10, 1, 3, 21, 0, 3, 8, 28, 0, 1, 3, 10, 36, 0, 1, 3, 6, 12, 57, 0, 1, 2, 3, 10, 21, 42, 0, 0, 1, 4, 2, 10, 17, 70, 0, 0, 1, 3, 3, 8, 9, 28, 79, 0, 0, 0, 1, 3, 4, 7, 20, 26, 96, 0, 0, 1, 1, 2, 3, 4, 10, 21, 36, 62, 0, 0, 0, 1, 1, 7, 1, 7, 6, 21, 25, 160, 0, 0, 0, 1, 0, 3, 3, 6, 12, 12, 16, 57, 59]

cp's OEIS Frontend

A226646 Number of ways to express m/n as Egyptian fractions in just three terms, that is, m/n = 1/x + 1/y + 1/z satisfying 1 <= x <= y <= z and read by antidiagonals.

Table of values

List of values

n	a(n)
1	3
2	1
3	10
4	1
5	3
6	21
7	0
8	3
9	8
10	28
11	0
12	1
13	3
14	10
15	36
16	0
17	1
18	3
19	6
20	12
21	57
22	0
23	1
24	2
25	3
26	10
27	21
28	42
29	0
30	0
31	1
32	4
33	2
34	10
35	17
36	70
37	0
38	0
39	1
40	3
41	3
42	8
43	9
44	28
45	79
46	0
47	0
48	0
49	1
50	3
51	4
52	7
53	20
54	26
55	96
56	0
57	0
58	1
59	1
60	2
61	3
62	4
63	10
64	21
65	36
66	62
67	0
68	0
69	0
70	1
71	1
72	7
73	1
74	7
75	6
76	21
77	25
78	160
79	0
80	0
81	0
82	1
83	0
84	3
85	3
86	6
87	12
88	12
89	16
90	57
91	59

n	a(n)
1	3
2	1
3	10
4	1
5	3
6	21
7	0
8	3
9	8
10	28
11	0
12	1
13	3
14	10
15	36
16	0
17	1
18	3
19	6
20	12
21	57
22	0
23	1
24	2
25	3
26	10
27	21
28	42
29	0
30	0
31	1
32	4
33	2
34	10
35	17
36	70
37	0
38	0
39	1
40	3
41	3
42	8
43	9
44	28
45	79
46	0
47	0
48	0
49	1
50	3
51	4
52	7
53	20
54	26
55	96
56	0
57	0
58	1
59	1
60	2
61	3
62	4
63	10
64	21
65	36
66	62
67	0
68	0
69	0
70	1
71	1
72	7
73	1
74	7
75	6
76	21
77	25
78	160
79	0
80	0
81	0
82	1
83	0
84	3
85	3
86	6
87	12
88	12
89	16
90	57
91	59

n	a(n)
1	3
2	1
3	10
4	1
5	3
6	21
7	0
8	3
9	8
10	28
11	0
12	1
13	3
14	10
15	36
16	0
17	1
18	3
19	6
20	12
21	57
22	0
23	1
24	2
25	3
26	10
27	21
28	42
29	0
30	0
31	1
32	4
33	2
34	10
35	17
36	70
37	0
38	0
39	1
40	3
41	3
42	8
43	9
44	28
45	79
46	0
47	0
48	0
49	1
50	3
51	4
52	7
53	20
54	26
55	96
56	0
57	0
58	1
59	1
60	2
61	3
62	4
63	10
64	21
65	36
66	62
67	0
68	0
69	0
70	1
71	1
72	7
73	1
74	7
75	6
76	21
77	25
78	160
79	0
80	0
81	0
82	1
83	0
84	3
85	3
86	6
87	12
88	12
89	16
90	57
91	59