A227612 - cp's OEIS frontend

A227612 Table read by antidiagonals: Number of ways m/n can be expressed as the sum of three distinct unit fractions, i.e., m/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z and read by antidiagonals.

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

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

cp's OEIS Frontend

A227612 Table read by antidiagonals: Number of ways m/n can be expressed as the sum of three distinct unit fractions, i.e., m/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z and read by antidiagonals.

Table of values

List of values

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

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

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