A374139 - cp's OEIS frontend

A374139 a(n) is the determinant of the symmetric Toeplitz matrix of order n whose element (i,j) equals abs(i-j) or 1 if i = j.

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

[1, 1, 0, -1, 1, 3, 0, -3, 1, 5, 0, -5, 1, 7, 0, -7, 1, 9, 0, -9, 1, 11, 0, -11, 1, 13, 0, -13, 1, 15, 0, -15, 1, 17, 0, -17, 1, 19, 0, -19, 1, 21, 0, -21, 1, 23, 0, -23, 1, 25, 0, -25, 1, 27, 0, -27, 1, 29, 0, -29, 1, 31, 0, -31, 1, 33, 0, -33, 1, 35, 0, -35, 1, 37, 0, -37]

cp's OEIS Frontend

A374139 a(n) is the determinant of the symmetric Toeplitz matrix of order n whose element (i,j) equals abs(i-j) or 1 if i = j.

Table of values

List of values

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

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

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