A204172 - cp's OEIS frontend

A204172 Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (f(i,j)), where f(i,j)=(1 if max(i,j) is odd, and 0 otherwise) as in A204171.

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

[1, -1, 0, -1, 1, -1, 1, 2, -1, 0, 1, -1, -2, 1, 1, -1, -4, 3, 3, -1, 0, -1, 1, 4, -3, -3, 1, -1, 1, 6, -5, -10, 6, 4, -1, 0, 1, -1, -6, 5, 10, -6, -4, 1, 1, -1, -8, 7, 21, -15, -20, 10, 5, -1, 0, -1, 1, 8, -7, -21, 15, 20, -10, -5, 1, -1, 1, 10, -9, -36, 28, 56]

cp's OEIS Frontend

A204172 Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (f(i,j)), where f(i,j)=(1 if max(i,j) is odd, and 0 otherwise) as in A204171.

Table of values

List of values

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

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

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