A155998 - cp's OEIS frontend

A155998 Triangle read by rows: T(n, k) = f(n, k) + f(n, n-k), where f(n, k) = binomial(n, k)*(1 - (-1)^k)/2.

n	a(n)
0	0
1	1
2	1
3	0
4	4
5	0
6	1
7	3
8	3
9	1
10	0
11	8
12	0
13	8
14	0
15	1
16	5
17	10
18	10
19	5
20	1
21	0
22	12
23	0
24	40
25	0
26	12
27	0
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	0
37	16
38	0
39	112
40	0
41	112
42	0
43	16
44	0
45	1
46	9
47	36
48	84
49	126
50	126
51	84
52	36
53	9
54	1
55	0
56	20
57	0
58	240
59	0
60	504
61	0
62	240
63	0
64	20
65	0

[0, 1, 1, 0, 4, 0, 1, 3, 3, 1, 0, 8, 0, 8, 0, 1, 5, 10, 10, 5, 1, 0, 12, 0, 40, 0, 12, 0, 1, 7, 21, 35, 35, 21, 7, 1, 0, 16, 0, 112, 0, 112, 0, 16, 0, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 0, 20, 0, 240, 0, 504, 0, 240, 0, 20, 0]

cp's OEIS Frontend

A155998 Triangle read by rows: T(n, k) = f(n, k) + f(n, n-k), where f(n, k) = binomial(n, k)*(1 - (-1)^k)/2.

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	0
4	4
5	0
6	1
7	3
8	3
9	1
10	0
11	8
12	0
13	8
14	0
15	1
16	5
17	10
18	10
19	5
20	1
21	0
22	12
23	0
24	40
25	0
26	12
27	0
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	0
37	16
38	0
39	112
40	0
41	112
42	0
43	16
44	0
45	1
46	9
47	36
48	84
49	126
50	126
51	84
52	36
53	9
54	1
55	0
56	20
57	0
58	240
59	0
60	504
61	0
62	240
63	0
64	20
65	0

n	a(n)
0	0
1	1
2	1
3	0
4	4
5	0
6	1
7	3
8	3
9	1
10	0
11	8
12	0
13	8
14	0
15	1
16	5
17	10
18	10
19	5
20	1
21	0
22	12
23	0
24	40
25	0
26	12
27	0
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	0
37	16
38	0
39	112
40	0
41	112
42	0
43	16
44	0
45	1
46	9
47	36
48	84
49	126
50	126
51	84
52	36
53	9
54	1
55	0
56	20
57	0
58	240
59	0
60	504
61	0
62	240
63	0
64	20
65	0

n	a(n)
0	0
1	1
2	1
3	0
4	4
5	0
6	1
7	3
8	3
9	1
10	0
11	8
12	0
13	8
14	0
15	1
16	5
17	10
18	10
19	5
20	1
21	0
22	12
23	0
24	40
25	0
26	12
27	0
28	1
29	7
30	21
31	35
32	35
33	21
34	7
35	1
36	0
37	16
38	0
39	112
40	0
41	112
42	0
43	16
44	0
45	1
46	9
47	36
48	84
49	126
50	126
51	84
52	36
53	9
54	1
55	0
56	20
57	0
58	240
59	0
60	504
61	0
62	240
63	0
64	20
65	0