A333287 - cp's OEIS frontend

A333287 Triangle read by rows: consider a figure made up of a row of n congruent rectangles and the diagonals of all visible rectangles; T(n,k) (1 <= k <= n) is the number of quadrilateral regions in the k-th rectangle.

n	a(n)
1	0
2	1
3	1
4	3
5	8
6	3
7	5
8	12
9	12
10	5
11	7
12	22
13	32
14	22
15	7
16	9
17	28
18	40
19	40
20	28
21	9
22	11
23	38
24	58
25	74
26	58
27	38
28	11
29	13
30	46
31	74
32	98
33	98
34	74
35	46
36	13
37	15
38	58
39	92
40	130
41	152
42	130
43	92
44	58
45	15
46	17
47	68
48	104
49	150
50	180
51	180
52	150
53	104
54	68
55	17
56	19
57	82
58	124
59	180
60	224
61	254
62	224
63	180
64	124
65	82
66	19

[0, 1, 1, 3, 8, 3, 5, 12, 12, 5, 7, 22, 32, 22, 7, 9, 28, 40, 40, 28, 9, 11, 38, 58, 74, 58, 38, 11, 13, 46, 74, 98, 98, 74, 46, 13, 15, 58, 92, 130, 152, 130, 92, 58, 15, 17, 68, 104, 150, 180, 180, 150, 104, 68, 17, 19, 82, 124, 180, 224, 254, 224, 180, 124, 82, 19]

cp's OEIS Frontend

A333287 Triangle read by rows: consider a figure made up of a row of n congruent rectangles and the diagonals of all visible rectangles; T(n,k) (1 <= k <= n) is the number of quadrilateral regions in the k-th rectangle.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	3
5	8
6	3
7	5
8	12
9	12
10	5
11	7
12	22
13	32
14	22
15	7
16	9
17	28
18	40
19	40
20	28
21	9
22	11
23	38
24	58
25	74
26	58
27	38
28	11
29	13
30	46
31	74
32	98
33	98
34	74
35	46
36	13
37	15
38	58
39	92
40	130
41	152
42	130
43	92
44	58
45	15
46	17
47	68
48	104
49	150
50	180
51	180
52	150
53	104
54	68
55	17
56	19
57	82
58	124
59	180
60	224
61	254
62	224
63	180
64	124
65	82
66	19

n	a(n)
1	0
2	1
3	1
4	3
5	8
6	3
7	5
8	12
9	12
10	5
11	7
12	22
13	32
14	22
15	7
16	9
17	28
18	40
19	40
20	28
21	9
22	11
23	38
24	58
25	74
26	58
27	38
28	11
29	13
30	46
31	74
32	98
33	98
34	74
35	46
36	13
37	15
38	58
39	92
40	130
41	152
42	130
43	92
44	58
45	15
46	17
47	68
48	104
49	150
50	180
51	180
52	150
53	104
54	68
55	17
56	19
57	82
58	124
59	180
60	224
61	254
62	224
63	180
64	124
65	82
66	19

n	a(n)
1	0
2	1
3	1
4	3
5	8
6	3
7	5
8	12
9	12
10	5
11	7
12	22
13	32
14	22
15	7
16	9
17	28
18	40
19	40
20	28
21	9
22	11
23	38
24	58
25	74
26	58
27	38
28	11
29	13
30	46
31	74
32	98
33	98
34	74
35	46
36	13
37	15
38	58
39	92
40	130
41	152
42	130
43	92
44	58
45	15
46	17
47	68
48	104
49	150
50	180
51	180
52	150
53	104
54	68
55	17
56	19
57	82
58	124
59	180
60	224
61	254
62	224
63	180
64	124
65	82
66	19