A374441 - cp's OEIS frontend

A374441 Triangle read by rows: T(n, k) = binomial(n - floor(k/2), ceiling(k/2)) - binomial(n - ceiling(k/2), floor(k/2)).

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	0
6	0
7	2
8	0
9	0
10	0
11	3
12	0
13	1
14	0
15	0
16	4
17	0
18	3
19	0
20	0
21	0
22	5
23	0
24	6
25	0
26	1
27	0
28	0
29	6
30	0
31	10
32	0
33	4
34	0
35	0
36	0
37	7
38	0
39	15
40	0
41	10
42	0
43	1
44	0
45	0
46	8
47	0
48	21
49	0
50	20
51	0
52	5
53	0
54	0
55	0
56	9
57	0
58	28
59	0
60	35
61	0
62	15
63	0
64	1
65	0
66	0
67	10
68	0
69	36
70	0
71	56
72	0
73	35
74	0
75	6
76	0
77	0
78	0
79	11
80	0
81	45
82	0
83	84
84	0
85	70
86	0
87	21
88	0
89	1
90	0

[0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 3, 0, 1, 0, 0, 4, 0, 3, 0, 0, 0, 5, 0, 6, 0, 1, 0, 0, 6, 0, 10, 0, 4, 0, 0, 0, 7, 0, 15, 0, 10, 0, 1, 0, 0, 8, 0, 21, 0, 20, 0, 5, 0, 0, 0, 9, 0, 28, 0, 35, 0, 15, 0, 1, 0, 0, 10, 0, 36, 0, 56, 0, 35, 0, 6, 0, 0, 0, 11, 0, 45, 0, 84, 0, 70, 0, 21, 0, 1, 0]

cp's OEIS Frontend

A374441 Triangle read by rows: T(n, k) = binomial(n - floor(k/2), ceiling(k/2)) - binomial(n - ceiling(k/2), floor(k/2)).

Table of values

List of values

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	0
6	0
7	2
8	0
9	0
10	0
11	3
12	0
13	1
14	0
15	0
16	4
17	0
18	3
19	0
20	0
21	0
22	5
23	0
24	6
25	0
26	1
27	0
28	0
29	6
30	0
31	10
32	0
33	4
34	0
35	0
36	0
37	7
38	0
39	15
40	0
41	10
42	0
43	1
44	0
45	0
46	8
47	0
48	21
49	0
50	20
51	0
52	5
53	0
54	0
55	0
56	9
57	0
58	28
59	0
60	35
61	0
62	15
63	0
64	1
65	0
66	0
67	10
68	0
69	36
70	0
71	56
72	0
73	35
74	0
75	6
76	0
77	0
78	0
79	11
80	0
81	45
82	0
83	84
84	0
85	70
86	0
87	21
88	0
89	1
90	0

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	0
6	0
7	2
8	0
9	0
10	0
11	3
12	0
13	1
14	0
15	0
16	4
17	0
18	3
19	0
20	0
21	0
22	5
23	0
24	6
25	0
26	1
27	0
28	0
29	6
30	0
31	10
32	0
33	4
34	0
35	0
36	0
37	7
38	0
39	15
40	0
41	10
42	0
43	1
44	0
45	0
46	8
47	0
48	21
49	0
50	20
51	0
52	5
53	0
54	0
55	0
56	9
57	0
58	28
59	0
60	35
61	0
62	15
63	0
64	1
65	0
66	0
67	10
68	0
69	36
70	0
71	56
72	0
73	35
74	0
75	6
76	0
77	0
78	0
79	11
80	0
81	45
82	0
83	84
84	0
85	70
86	0
87	21
88	0
89	1
90	0

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	0
6	0
7	2
8	0
9	0
10	0
11	3
12	0
13	1
14	0
15	0
16	4
17	0
18	3
19	0
20	0
21	0
22	5
23	0
24	6
25	0
26	1
27	0
28	0
29	6
30	0
31	10
32	0
33	4
34	0
35	0
36	0
37	7
38	0
39	15
40	0
41	10
42	0
43	1
44	0
45	0
46	8
47	0
48	21
49	0
50	20
51	0
52	5
53	0
54	0
55	0
56	9
57	0
58	28
59	0
60	35
61	0
62	15
63	0
64	1
65	0
66	0
67	10
68	0
69	36
70	0
71	56
72	0
73	35
74	0
75	6
76	0
77	0
78	0
79	11
80	0
81	45
82	0
83	84
84	0
85	70
86	0
87	21
88	0
89	1
90	0