A331451 - cp's OEIS frontend

A331451 Triangle read by rows: Take an n-sided polygon (n>=3) with all diagonals drawn, as in A007678. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n.

n	a(n)
3	1
4	4
5	0
6	10
7	0
8	1
9	18
10	6
11	0
12	0
13	35
14	7
15	7
16	0
17	1
18	56
19	24
20	0
21	0
22	0
23	0
24	90
25	36
26	18
27	9
28	0
29	0
30	1
31	120
32	90
33	10
34	0
35	0
36	0
37	0
38	0
39	176
40	132
41	44
42	22
43	0
44	0
45	0
46	0
47	1
48	276
49	168
50	0
51	0
52	0
53	0
54	0
55	0
56	0
57	0
58	377
59	234
60	117
61	39
62	0
63	13
64	0
65	0
66	0
67	0
68	1
69	476
70	378
71	98
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	0
80	0
81	585
82	600
83	150
84	105
85	15
86	0
87	0
88	0
89	0
90	0
91	0
92	0
93	1
94	848
95	672
96	128
97	48
98	0
99	0
100	0
101	0
102	0
103	0
104	0
105	0
106	0
107	0

[1, 4, 0, 10, 0, 1, 18, 6, 0, 0, 35, 7, 7, 0, 1, 56, 24, 0, 0, 0, 0, 90, 36, 18, 9, 0, 0, 1, 120, 90, 10, 0, 0, 0, 0, 0, 176, 132, 44, 22, 0, 0, 0, 0, 1, 276, 168, 0, 0, 0, 0, 0, 0, 0, 0, 377, 234, 117, 39, 0, 13, 0, 0, 0, 0, 1, 476, 378, 98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 585, 600, 150, 105, 15, 0, 0, 0, 0, 0, 0, 0, 1, 848, 672, 128, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

cp's OEIS Frontend

A331451 Triangle read by rows: Take an n-sided polygon (n>=3) with all diagonals drawn, as in A007678. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n.

Table of values

List of values

n	a(n)
3	1
4	4
5	0
6	10
7	0
8	1
9	18
10	6
11	0
12	0
13	35
14	7
15	7
16	0
17	1
18	56
19	24
20	0
21	0
22	0
23	0
24	90
25	36
26	18
27	9
28	0
29	0
30	1
31	120
32	90
33	10
34	0
35	0
36	0
37	0
38	0
39	176
40	132
41	44
42	22
43	0
44	0
45	0
46	0
47	1
48	276
49	168
50	0
51	0
52	0
53	0
54	0
55	0
56	0
57	0
58	377
59	234
60	117
61	39
62	0
63	13
64	0
65	0
66	0
67	0
68	1
69	476
70	378
71	98
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	0
80	0
81	585
82	600
83	150
84	105
85	15
86	0
87	0
88	0
89	0
90	0
91	0
92	0
93	1
94	848
95	672
96	128
97	48
98	0
99	0
100	0
101	0
102	0
103	0
104	0
105	0
106	0
107	0

n	a(n)
3	1
4	4
5	0
6	10
7	0
8	1
9	18
10	6
11	0
12	0
13	35
14	7
15	7
16	0
17	1
18	56
19	24
20	0
21	0
22	0
23	0
24	90
25	36
26	18
27	9
28	0
29	0
30	1
31	120
32	90
33	10
34	0
35	0
36	0
37	0
38	0
39	176
40	132
41	44
42	22
43	0
44	0
45	0
46	0
47	1
48	276
49	168
50	0
51	0
52	0
53	0
54	0
55	0
56	0
57	0
58	377
59	234
60	117
61	39
62	0
63	13
64	0
65	0
66	0
67	0
68	1
69	476
70	378
71	98
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	0
80	0
81	585
82	600
83	150
84	105
85	15
86	0
87	0
88	0
89	0
90	0
91	0
92	0
93	1
94	848
95	672
96	128
97	48
98	0
99	0
100	0
101	0
102	0
103	0
104	0
105	0
106	0
107	0

n	a(n)
3	1
4	4
5	0
6	10
7	0
8	1
9	18
10	6
11	0
12	0
13	35
14	7
15	7
16	0
17	1
18	56
19	24
20	0
21	0
22	0
23	0
24	90
25	36
26	18
27	9
28	0
29	0
30	1
31	120
32	90
33	10
34	0
35	0
36	0
37	0
38	0
39	176
40	132
41	44
42	22
43	0
44	0
45	0
46	0
47	1
48	276
49	168
50	0
51	0
52	0
53	0
54	0
55	0
56	0
57	0
58	377
59	234
60	117
61	39
62	0
63	13
64	0
65	0
66	0
67	0
68	1
69	476
70	378
71	98
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	0
80	0
81	585
82	600
83	150
84	105
85	15
86	0
87	0
88	0
89	0
90	0
91	0
92	0
93	1
94	848
95	672
96	128
97	48
98	0
99	0
100	0
101	0
102	0
103	0
104	0
105	0
106	0
107	0