A368175 - cp's OEIS frontend

A368175 Square array read by ascending antidiagonals: T(n,k) = Sum_{i=ceiling((k-n)/2)..floor((k+n-1)/2)} binomial(k,i), with n >= 1, k >= 0.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	2
9	3
10	3
11	1
12	2
13	4
14	6
15	6
16	1
17	2
18	4
19	7
20	10
21	10
22	1
23	2
24	4
25	8
26	14
27	20
28	20
29	1
30	2
31	4
32	8
33	15
34	25
35	35
36	35
37	1
38	2
39	4
40	8
41	16
42	30
43	50
44	70
45	70
46	1
47	2
48	4
49	8
50	16
51	31
52	56
53	91
54	126
55	126
56	1
57	2
58	4
59	8
60	16
61	32
62	62
63	112
64	182
65	252
66	252
67	1
68	2
69	4
70	8
71	16
72	32
73	63
74	119
75	210
76	336
77	462
78	462

[1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 1, 2, 4, 6, 6, 1, 2, 4, 7, 10, 10, 1, 2, 4, 8, 14, 20, 20, 1, 2, 4, 8, 15, 25, 35, 35, 1, 2, 4, 8, 16, 30, 50, 70, 70, 1, 2, 4, 8, 16, 31, 56, 91, 126, 126, 1, 2, 4, 8, 16, 32, 62, 112, 182, 252, 252, 1, 2, 4, 8, 16, 32, 63, 119, 210, 336, 462, 462]

cp's OEIS Frontend

A368175 Square array read by ascending antidiagonals: T(n,k) = Sum_{i=ceiling((k-n)/2)..floor((k+n-1)/2)} binomial(k,i), with n >= 1, k >= 0.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	2
9	3
10	3
11	1
12	2
13	4
14	6
15	6
16	1
17	2
18	4
19	7
20	10
21	10
22	1
23	2
24	4
25	8
26	14
27	20
28	20
29	1
30	2
31	4
32	8
33	15
34	25
35	35
36	35
37	1
38	2
39	4
40	8
41	16
42	30
43	50
44	70
45	70
46	1
47	2
48	4
49	8
50	16
51	31
52	56
53	91
54	126
55	126
56	1
57	2
58	4
59	8
60	16
61	32
62	62
63	112
64	182
65	252
66	252
67	1
68	2
69	4
70	8
71	16
72	32
73	63
74	119
75	210
76	336
77	462
78	462

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	2
9	3
10	3
11	1
12	2
13	4
14	6
15	6
16	1
17	2
18	4
19	7
20	10
21	10
22	1
23	2
24	4
25	8
26	14
27	20
28	20
29	1
30	2
31	4
32	8
33	15
34	25
35	35
36	35
37	1
38	2
39	4
40	8
41	16
42	30
43	50
44	70
45	70
46	1
47	2
48	4
49	8
50	16
51	31
52	56
53	91
54	126
55	126
56	1
57	2
58	4
59	8
60	16
61	32
62	62
63	112
64	182
65	252
66	252
67	1
68	2
69	4
70	8
71	16
72	32
73	63
74	119
75	210
76	336
77	462
78	462

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	2
9	3
10	3
11	1
12	2
13	4
14	6
15	6
16	1
17	2
18	4
19	7
20	10
21	10
22	1
23	2
24	4
25	8
26	14
27	20
28	20
29	1
30	2
31	4
32	8
33	15
34	25
35	35
36	35
37	1
38	2
39	4
40	8
41	16
42	30
43	50
44	70
45	70
46	1
47	2
48	4
49	8
50	16
51	31
52	56
53	91
54	126
55	126
56	1
57	2
58	4
59	8
60	16
61	32
62	62
63	112
64	182
65	252
66	252
67	1
68	2
69	4
70	8
71	16
72	32
73	63
74	119
75	210
76	336
77	462
78	462