A353450 - cp's OEIS frontend

A353450 T(n,m) is the number of non-congruent quadrilaterals with integer vertex coordinates (x1,1), (n,y2), (x3,m), (1,y4), 1 < x1, x3 < n, 1 < y2, y4 < m, m <= n, such that the 6 distances between the 4 vertices are distinct and (x3-x1)*(y4-y2) < 0, where T(n,m) is a triangle read by rows.

n	a(n)
3	0
4	0
5	0
6	0
7	1
8	1
9	0
10	0
11	4
12	5
13	0
14	2
15	8
16	18
17	16
18	0
19	5
20	14
21	28
22	50
23	36
24	0
25	7
26	23
27	42
28	75
29	109
30	77
31	0
32	10
33	34
34	65
35	110
36	157
37	223
38	143
39	0
40	14
41	45
42	89
43	151
44	223
45	314
46	423
47	265
48	0
49	18
50	58
51	116
52	186
53	274
54	386
55	519
56	684
57	400
58	0
59	23
60	73
61	145
62	239
63	355
64	491
65	652
66	870
67	1069
68	622

[0, 0, 0, 0, 1, 1, 0, 0, 4, 5, 0, 2, 8, 18, 16, 0, 5, 14, 28, 50, 36, 0, 7, 23, 42, 75, 109, 77, 0, 10, 34, 65, 110, 157, 223, 143, 0, 14, 45, 89, 151, 223, 314, 423, 265, 0, 18, 58, 116, 186, 274, 386, 519, 684, 400, 0, 23, 73, 145, 239, 355, 491, 652, 870, 1069, 622]

cp's OEIS Frontend

A353450 T(n,m) is the number of non-congruent quadrilaterals with integer vertex coordinates (x1,1), (n,y2), (x3,m), (1,y4), 1 < x1, x3 < n, 1 < y2, y4 < m, m <= n, such that the 6 distances between the 4 vertices are distinct and (x3-x1)*(y4-y2) < 0, where T(n,m) is a triangle read by rows.

Table of values

List of values