A379609 - cp's OEIS frontend

A379609 Triples (x,y,z) such that T(x)*T(y) = T(z) with 2 <= x <= y, where T(n) is the n-th triangular number, sorted first by values of z, then by values of x.

n	a(n)
1	3
2	3
3	8
4	2
5	5
6	9
7	4
8	6
9	20
10	2
11	20
12	35
13	3
14	14
15	35
16	4
17	12
18	39
19	5
20	11
21	44
22	7
23	10
24	55
25	5
26	19
27	75
28	3
29	34
30	84
31	9
32	13
33	90
34	6
35	21
36	98
37	2
38	76
39	132
40	6
41	33
42	153
43	4
44	55
45	175
46	14
47	18
48	189
49	13
50	20
51	195
52	12
53	23
54	207
55	15
56	20
57	224
58	14
59	22
60	230
61	11
62	28
63	231
64	12
65	29
66	260
67	7
68	51
69	272
70	10
71	38
72	285
73	11
74	36
75	296
76	5
77	90
78	350
79	3
80	143
81	351
82	10
83	50
84	374
85	7
86	75
87	399
88	9
89	68
90	459
91	19
92	34
93	475

[3, 3, 8, 2, 5, 9, 4, 6, 20, 2, 20, 35, 3, 14, 35, 4, 12, 39, 5, 11, 44, 7, 10, 55, 5, 19, 75, 3, 34, 84, 9, 13, 90, 6, 21, 98, 2, 76, 132, 6, 33, 153, 4, 55, 175, 14, 18, 189, 13, 20, 195, 12, 23, 207, 15, 20, 224, 14, 22, 230, 11, 28, 231, 12, 29, 260, 7, 51, 272, 10, 38, 285, 11, 36, 296, 5, 90, 350, 3, 143, 351, 10, 50, 374, 7, 75, 399, 9, 68, 459, 19, 34, 475]

cp's OEIS Frontend

A379609 Triples (x,y,z) such that T(x)*T(y) = T(z) with 2 <= x <= y, where T(n) is the n-th triangular number, sorted first by values of z, then by values of x.

Table of values

List of values

n	a(n)
1	3
2	3
3	8
4	2
5	5
6	9
7	4
8	6
9	20
10	2
11	20
12	35
13	3
14	14
15	35
16	4
17	12
18	39
19	5
20	11
21	44
22	7
23	10
24	55
25	5
26	19
27	75
28	3
29	34
30	84
31	9
32	13
33	90
34	6
35	21
36	98
37	2
38	76
39	132
40	6
41	33
42	153
43	4
44	55
45	175
46	14
47	18
48	189
49	13
50	20
51	195
52	12
53	23
54	207
55	15
56	20
57	224
58	14
59	22
60	230
61	11
62	28
63	231
64	12
65	29
66	260
67	7
68	51
69	272
70	10
71	38
72	285
73	11
74	36
75	296
76	5
77	90
78	350
79	3
80	143
81	351
82	10
83	50
84	374
85	7
86	75
87	399
88	9
89	68
90	459
91	19
92	34
93	475

n	a(n)
1	3
2	3
3	8
4	2
5	5
6	9
7	4
8	6
9	20
10	2
11	20
12	35
13	3
14	14
15	35
16	4
17	12
18	39
19	5
20	11
21	44
22	7
23	10
24	55
25	5
26	19
27	75
28	3
29	34
30	84
31	9
32	13
33	90
34	6
35	21
36	98
37	2
38	76
39	132
40	6
41	33
42	153
43	4
44	55
45	175
46	14
47	18
48	189
49	13
50	20
51	195
52	12
53	23
54	207
55	15
56	20
57	224
58	14
59	22
60	230
61	11
62	28
63	231
64	12
65	29
66	260
67	7
68	51
69	272
70	10
71	38
72	285
73	11
74	36
75	296
76	5
77	90
78	350
79	3
80	143
81	351
82	10
83	50
84	374
85	7
86	75
87	399
88	9
89	68
90	459
91	19
92	34
93	475

n	a(n)
1	3
2	3
3	8
4	2
5	5
6	9
7	4
8	6
9	20
10	2
11	20
12	35
13	3
14	14
15	35
16	4
17	12
18	39
19	5
20	11
21	44
22	7
23	10
24	55
25	5
26	19
27	75
28	3
29	34
30	84
31	9
32	13
33	90
34	6
35	21
36	98
37	2
38	76
39	132
40	6
41	33
42	153
43	4
44	55
45	175
46	14
47	18
48	189
49	13
50	20
51	195
52	12
53	23
54	207
55	15
56	20
57	224
58	14
59	22
60	230
61	11
62	28
63	231
64	12
65	29
66	260
67	7
68	51
69	272
70	10
71	38
72	285
73	11
74	36
75	296
76	5
77	90
78	350
79	3
80	143
81	351
82	10
83	50
84	374
85	7
86	75
87	399
88	9
89	68
90	459
91	19
92	34
93	475