A099557 - cp's OEIS frontend

A099557 Slanted Pascal's triangle, read by rows, such that T(n,k) = binomial(n-[k/2],k) for [n*2/3]>=k>=0, where [x]=floor(x).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	0
6	1
7	3
8	1
9	0
10	1
11	4
12	3
13	1
14	0
15	1
16	5
17	6
18	4
19	0
20	0
21	1
22	6
23	10
24	10
25	1
26	0
27	0
28	1
29	7
30	15
31	20
32	5
33	1
34	0
35	0
36	1
37	8
38	21
39	35
40	15
41	6
42	0
43	0
44	0
45	1
46	9
47	28
48	56
49	35
50	21
51	1
52	0
53	0
54	0
55	1
56	10
57	36
58	84
59	70
60	56
61	7
62	1
63	0
64	0
65	0
66	1
67	11
68	45
69	120
70	126
71	126
72	28
73	8
74	0
75	0
76	0
77	0

[1, 1, 1, 1, 2, 0, 1, 3, 1, 0, 1, 4, 3, 1, 0, 1, 5, 6, 4, 0, 0, 1, 6, 10, 10, 1, 0, 0, 1, 7, 15, 20, 5, 1, 0, 0, 1, 8, 21, 35, 15, 6, 0, 0, 0, 1, 9, 28, 56, 35, 21, 1, 0, 0, 0, 1, 10, 36, 84, 70, 56, 7, 1, 0, 0, 0, 1, 11, 45, 120, 126, 126, 28, 8, 0, 0, 0, 0]

cp's OEIS Frontend

A099557 Slanted Pascal's triangle, read by rows, such that T(n,k) = binomial(n-[k/2],k) for [n*2/3]>=k>=0, where [x]=floor(x).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	0
6	1
7	3
8	1
9	0
10	1
11	4
12	3
13	1
14	0
15	1
16	5
17	6
18	4
19	0
20	0
21	1
22	6
23	10
24	10
25	1
26	0
27	0
28	1
29	7
30	15
31	20
32	5
33	1
34	0
35	0
36	1
37	8
38	21
39	35
40	15
41	6
42	0
43	0
44	0
45	1
46	9
47	28
48	56
49	35
50	21
51	1
52	0
53	0
54	0
55	1
56	10
57	36
58	84
59	70
60	56
61	7
62	1
63	0
64	0
65	0
66	1
67	11
68	45
69	120
70	126
71	126
72	28
73	8
74	0
75	0
76	0
77	0

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	0
6	1
7	3
8	1
9	0
10	1
11	4
12	3
13	1
14	0
15	1
16	5
17	6
18	4
19	0
20	0
21	1
22	6
23	10
24	10
25	1
26	0
27	0
28	1
29	7
30	15
31	20
32	5
33	1
34	0
35	0
36	1
37	8
38	21
39	35
40	15
41	6
42	0
43	0
44	0
45	1
46	9
47	28
48	56
49	35
50	21
51	1
52	0
53	0
54	0
55	1
56	10
57	36
58	84
59	70
60	56
61	7
62	1
63	0
64	0
65	0
66	1
67	11
68	45
69	120
70	126
71	126
72	28
73	8
74	0
75	0
76	0
77	0

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	0
6	1
7	3
8	1
9	0
10	1
11	4
12	3
13	1
14	0
15	1
16	5
17	6
18	4
19	0
20	0
21	1
22	6
23	10
24	10
25	1
26	0
27	0
28	1
29	7
30	15
31	20
32	5
33	1
34	0
35	0
36	1
37	8
38	21
39	35
40	15
41	6
42	0
43	0
44	0
45	1
46	9
47	28
48	56
49	35
50	21
51	1
52	0
53	0
54	0
55	1
56	10
57	36
58	84
59	70
60	56
61	7
62	1
63	0
64	0
65	0
66	1
67	11
68	45
69	120
70	126
71	126
72	28
73	8
74	0
75	0
76	0
77	0