A306210 - cp's OEIS frontend

A306210 T(n,k) = binomial(n + k, n) - binomial(n + floor(k/2), n) + 1, square array read by descending antidiagonals (n >= 0, k >= 0).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	3
9	1
10	1
11	3
12	4
13	4
14	1
15	1
16	3
17	8
18	7
19	5
20	1
21	1
22	4
23	10
24	17
25	11
26	6
27	1
28	1
29	4
30	16
31	26
32	31
33	16
34	7
35	1
36	1
37	5
38	19
39	47
40	56
41	51
42	22
43	8
44	1
45	1
46	5
47	27
48	65
49	112
50	106
51	78
52	29
53	9
54	1
55	1
56	6
57	31
58	101
59	176
60	232
61	183
62	113
63	37
64	10
65	1
66	1
67	6
68	41
69	131
70	296
71	407
72	435
73	295
74	157
75	46
76	11
77	1

[1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 3, 4, 4, 1, 1, 3, 8, 7, 5, 1, 1, 4, 10, 17, 11, 6, 1, 1, 4, 16, 26, 31, 16, 7, 1, 1, 5, 19, 47, 56, 51, 22, 8, 1, 1, 5, 27, 65, 112, 106, 78, 29, 9, 1, 1, 6, 31, 101, 176, 232, 183, 113, 37, 10, 1, 1, 6, 41, 131, 296, 407, 435, 295, 157, 46, 11, 1]

cp's OEIS Frontend

A306210 T(n,k) = binomial(n + k, n) - binomial(n + floor(k/2), n) + 1, square array read by descending antidiagonals (n >= 0, k >= 0).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	3
9	1
10	1
11	3
12	4
13	4
14	1
15	1
16	3
17	8
18	7
19	5
20	1
21	1
22	4
23	10
24	17
25	11
26	6
27	1
28	1
29	4
30	16
31	26
32	31
33	16
34	7
35	1
36	1
37	5
38	19
39	47
40	56
41	51
42	22
43	8
44	1
45	1
46	5
47	27
48	65
49	112
50	106
51	78
52	29
53	9
54	1
55	1
56	6
57	31
58	101
59	176
60	232
61	183
62	113
63	37
64	10
65	1
66	1
67	6
68	41
69	131
70	296
71	407
72	435
73	295
74	157
75	46
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	3
9	1
10	1
11	3
12	4
13	4
14	1
15	1
16	3
17	8
18	7
19	5
20	1
21	1
22	4
23	10
24	17
25	11
26	6
27	1
28	1
29	4
30	16
31	26
32	31
33	16
34	7
35	1
36	1
37	5
38	19
39	47
40	56
41	51
42	22
43	8
44	1
45	1
46	5
47	27
48	65
49	112
50	106
51	78
52	29
53	9
54	1
55	1
56	6
57	31
58	101
59	176
60	232
61	183
62	113
63	37
64	10
65	1
66	1
67	6
68	41
69	131
70	296
71	407
72	435
73	295
74	157
75	46
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	3
9	1
10	1
11	3
12	4
13	4
14	1
15	1
16	3
17	8
18	7
19	5
20	1
21	1
22	4
23	10
24	17
25	11
26	6
27	1
28	1
29	4
30	16
31	26
32	31
33	16
34	7
35	1
36	1
37	5
38	19
39	47
40	56
41	51
42	22
43	8
44	1
45	1
46	5
47	27
48	65
49	112
50	106
51	78
52	29
53	9
54	1
55	1
56	6
57	31
58	101
59	176
60	232
61	183
62	113
63	37
64	10
65	1
66	1
67	6
68	41
69	131
70	296
71	407
72	435
73	295
74	157
75	46
76	11
77	1