A108299 - cp's OEIS frontend

A108299 Triangle read by rows, 0 <= k <= n: T(n,k) = binomial(n-[(k+1)/2],[k/2])*(-1)^[(k+1)/2].

n	a(n)
0	1
1	1
2	-1
3	1
4	-1
5	-1
6	1
7	-1
8	-2
9	1
10	1
11	-1
12	-3
13	2
14	1
15	1
16	-1
17	-4
18	3
19	3
20	-1
21	1
22	-1
23	-5
24	4
25	6
26	-3
27	-1
28	1
29	-1
30	-6
31	5
32	10
33	-6
34	-4
35	1
36	1
37	-1
38	-7
39	6
40	15
41	-10
42	-10
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	1
56	-1
57	-9
58	8
59	28
60	-21
61	-35
62	20
63	15
64	-5
65	-1
66	1
67	-1
68	-10
69	9
70	36
71	-28
72	-56
73	35
74	35
75	-15
76	-6
77	1
78	1
79	-1
80	-11
81	10
82	45
83	-36
84	-84
85	56
86	70

[1, 1, -1, 1, -1, -1, 1, -1, -2, 1, 1, -1, -3, 2, 1, 1, -1, -4, 3, 3, -1, 1, -1, -5, 4, 6, -3, -1, 1, -1, -6, 5, 10, -6, -4, 1, 1, -1, -7, 6, 15, -10, -10, 4, 1, 1, -1, -8, 7, 21, -15, -20, 10, 5, -1, 1, -1, -9, 8, 28, -21, -35, 20, 15, -5, -1, 1, -1, -10, 9, 36, -28, -56, 35, 35, -15, -6, 1, 1, -1, -11, 10, 45, -36, -84, 56, 70]

cp's OEIS Frontend

A108299 Triangle read by rows, 0 <= k <= n: T(n,k) = binomial(n-[(k+1)/2],[k/2])*(-1)^[(k+1)/2].

Table of values

List of values

n	a(n)
0	1
1	1
2	-1
3	1
4	-1
5	-1
6	1
7	-1
8	-2
9	1
10	1
11	-1
12	-3
13	2
14	1
15	1
16	-1
17	-4
18	3
19	3
20	-1
21	1
22	-1
23	-5
24	4
25	6
26	-3
27	-1
28	1
29	-1
30	-6
31	5
32	10
33	-6
34	-4
35	1
36	1
37	-1
38	-7
39	6
40	15
41	-10
42	-10
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	1
56	-1
57	-9
58	8
59	28
60	-21
61	-35
62	20
63	15
64	-5
65	-1
66	1
67	-1
68	-10
69	9
70	36
71	-28
72	-56
73	35
74	35
75	-15
76	-6
77	1
78	1
79	-1
80	-11
81	10
82	45
83	-36
84	-84
85	56
86	70

n	a(n)
0	1
1	1
2	-1
3	1
4	-1
5	-1
6	1
7	-1
8	-2
9	1
10	1
11	-1
12	-3
13	2
14	1
15	1
16	-1
17	-4
18	3
19	3
20	-1
21	1
22	-1
23	-5
24	4
25	6
26	-3
27	-1
28	1
29	-1
30	-6
31	5
32	10
33	-6
34	-4
35	1
36	1
37	-1
38	-7
39	6
40	15
41	-10
42	-10
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	1
56	-1
57	-9
58	8
59	28
60	-21
61	-35
62	20
63	15
64	-5
65	-1
66	1
67	-1
68	-10
69	9
70	36
71	-28
72	-56
73	35
74	35
75	-15
76	-6
77	1
78	1
79	-1
80	-11
81	10
82	45
83	-36
84	-84
85	56
86	70

n	a(n)
0	1
1	1
2	-1
3	1
4	-1
5	-1
6	1
7	-1
8	-2
9	1
10	1
11	-1
12	-3
13	2
14	1
15	1
16	-1
17	-4
18	3
19	3
20	-1
21	1
22	-1
23	-5
24	4
25	6
26	-3
27	-1
28	1
29	-1
30	-6
31	5
32	10
33	-6
34	-4
35	1
36	1
37	-1
38	-7
39	6
40	15
41	-10
42	-10
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	1
56	-1
57	-9
58	8
59	28
60	-21
61	-35
62	20
63	15
64	-5
65	-1
66	1
67	-1
68	-10
69	9
70	36
71	-28
72	-56
73	35
74	35
75	-15
76	-6
77	1
78	1
79	-1
80	-11
81	10
82	45
83	-36
84	-84
85	56
86	70