A320508 - cp's OEIS frontend

A320508 T(n,k) = binomial(n - k - 1, k), 0 <= k < n, and T(n,n) = (-1)^n, triangle read by rows.

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

[1, 1, -1, 1, 0, 1, 1, 1, 0, -1, 1, 2, 0, 0, 1, 1, 3, 1, 0, 0, -1, 1, 4, 3, 0, 0, 0, 1, 1, 5, 6, 1, 0, 0, 0, -1, 1, 6, 10, 4, 0, 0, 0, 0, 1, 1, 7, 15, 10, 1, 0, 0, 0, 0, -1, 1, 8, 21, 20, 5, 0, 0, 0, 0, 0, 1, 1, 9, 28, 35, 15, 1, 0, 0, 0, 0, 0, -1, 1, 10, 36]

cp's OEIS Frontend

A320508 T(n,k) = binomial(n - k - 1, k), 0 <= k < n, and T(n,n) = (-1)^n, triangle read by rows.

Table of values

List of values

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

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

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