A353449 - cp's OEIS frontend

A353449 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	0
8	0
9	0
10	1
11	2
12	2
13	0
14	1
15	8
16	15
17	12
18	0
19	3
20	16
21	27
22	49
23	29
24	0
25	7
26	21
27	44
28	71
29	103
30	66
31	0
32	9
33	30
34	61
35	106
36	152
37	216
38	131
39	0
40	13
41	41
42	80
43	145
44	213
45	298
46	404
47	245
48	0
49	17
50	55
51	106
52	189
53	279
54	383
55	507
56	677
57	373
58	0
59	22
60	69
61	135
62	228
63	345
64	485
65	641
66	848
67	1054
68	576

[0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 8, 15, 12, 0, 3, 16, 27, 49, 29, 0, 7, 21, 44, 71, 103, 66, 0, 9, 30, 61, 106, 152, 216, 131, 0, 13, 41, 80, 145, 213, 298, 404, 245, 0, 17, 55, 106, 189, 279, 383, 507, 677, 373, 0, 22, 69, 135, 228, 345, 485, 641, 848, 1054, 576]

cp's OEIS Frontend

A353449 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