A283798 - cp's OEIS frontend

A283798 Triangle T(n,k) read by rows: the number of symmetric q-circulant n X n {0,1}-matrices where each column sum, each row sum and the trace equal k.

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	3
8	3
9	1
10	1
11	0
12	4
13	0
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	0
23	9
24	0
25	9
26	0
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	0
38	16
39	0
40	44
41	0
42	16
43	0
44	1
45	1
46	9
47	36
48	84
49	126
50	126
51	84
52	36
53	9
54	1
55	1
56	0
57	25
58	0
59	100
60	0
61	100
62	0
63	25
64	0
65	1
66	1
67	11
68	55
69	165
70	330
71	462
72	462
73	330
74	165
75	55
76	11
77	1
78	1
79	0
80	36

[1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 4, 0, 1, 1, 5, 10, 10, 5, 1, 1, 0, 9, 0, 9, 0, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 0, 16, 0, 44, 0, 16, 0, 1, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 1, 0, 25, 0, 100, 0, 100, 0, 25, 0, 1, 1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1, 1, 0, 36]

cp's OEIS Frontend

A283798 Triangle T(n,k) read by rows: the number of symmetric q-circulant n X n {0,1}-matrices where each column sum, each row sum and the trace equal k.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	3
8	3
9	1
10	1
11	0
12	4
13	0
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	0
23	9
24	0
25	9
26	0
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	0
38	16
39	0
40	44
41	0
42	16
43	0
44	1
45	1
46	9
47	36
48	84
49	126
50	126
51	84
52	36
53	9
54	1
55	1
56	0
57	25
58	0
59	100
60	0
61	100
62	0
63	25
64	0
65	1
66	1
67	11
68	55
69	165
70	330
71	462
72	462
73	330
74	165
75	55
76	11
77	1
78	1
79	0
80	36

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	3
8	3
9	1
10	1
11	0
12	4
13	0
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	0
23	9
24	0
25	9
26	0
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	0
38	16
39	0
40	44
41	0
42	16
43	0
44	1
45	1
46	9
47	36
48	84
49	126
50	126
51	84
52	36
53	9
54	1
55	1
56	0
57	25
58	0
59	100
60	0
61	100
62	0
63	25
64	0
65	1
66	1
67	11
68	55
69	165
70	330
71	462
72	462
73	330
74	165
75	55
76	11
77	1
78	1
79	0
80	36

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	3
8	3
9	1
10	1
11	0
12	4
13	0
14	1
15	1
16	5
17	10
18	10
19	5
20	1
21	1
22	0
23	9
24	0
25	9
26	0
27	1
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	1
37	0
38	16
39	0
40	44
41	0
42	16
43	0
44	1
45	1
46	9
47	36
48	84
49	126
50	126
51	84
52	36
53	9
54	1
55	1
56	0
57	25
58	0
59	100
60	0
61	100
62	0
63	25
64	0
65	1
66	1
67	11
68	55
69	165
70	330
71	462
72	462
73	330
74	165
75	55
76	11
77	1
78	1
79	0
80	36