A306405 - cp's OEIS frontend

A306405 T(n,k) = kSum_{i=0..(n-k)/2} C(k,2k+2i-n)C(k+2*i-1,i)/(k+i), triangle read by rows for n >= 1 and 1 <= k <= n.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	2
12	4
13	6
14	4
15	1
16	2
17	7
18	10
19	10
20	5
21	1
22	5
23	10
24	18
25	20
26	15
27	6
28	1
29	5
30	19
31	30
32	39
33	35
34	21
35	7
36	1
37	14
38	28
39	55
40	72
41	75
42	56
43	28
44	8
45	1
46	14
47	56
48	93
49	136
50	151
51	132
52	84
53	36
54	9
55	1
56	42
57	84
58	174
59	248
60	300
61	288
62	217
63	120
64	45
65	10
66	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 4, 6, 4, 1, 2, 7, 10, 10, 5, 1, 5, 10, 18, 20, 15, 6, 1, 5, 19, 30, 39, 35, 21, 7, 1, 14, 28, 55, 72, 75, 56, 28, 8, 1, 14, 56, 93, 136, 151, 132, 84, 36, 9, 1, 42, 84, 174, 248, 300, 288, 217, 120, 45, 10, 1]

cp's OEIS Frontend

A306405 T(n,k) = kSum_{i=0..(n-k)/2} C(k,2k+2i-n)C(k+2*i-1,i)/(k+i), triangle read by rows for n >= 1 and 1 <= k <= n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	2
12	4
13	6
14	4
15	1
16	2
17	7
18	10
19	10
20	5
21	1
22	5
23	10
24	18
25	20
26	15
27	6
28	1
29	5
30	19
31	30
32	39
33	35
34	21
35	7
36	1
37	14
38	28
39	55
40	72
41	75
42	56
43	28
44	8
45	1
46	14
47	56
48	93
49	136
50	151
51	132
52	84
53	36
54	9
55	1
56	42
57	84
58	174
59	248
60	300
61	288
62	217
63	120
64	45
65	10
66	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	2
12	4
13	6
14	4
15	1
16	2
17	7
18	10
19	10
20	5
21	1
22	5
23	10
24	18
25	20
26	15
27	6
28	1
29	5
30	19
31	30
32	39
33	35
34	21
35	7
36	1
37	14
38	28
39	55
40	72
41	75
42	56
43	28
44	8
45	1
46	14
47	56
48	93
49	136
50	151
51	132
52	84
53	36
54	9
55	1
56	42
57	84
58	174
59	248
60	300
61	288
62	217
63	120
64	45
65	10
66	1

cp's OEIS Frontend

A306405 T(n,k) = k*Sum_{i=0..(n-k)/2} C(k,2*k+2*i-n)*C(k+2*i-1,i)/(k+i), triangle read by rows for n >= 1 and 1 <= k <= n.

Table of values

List of values

A306405 T(n,k) = kSum_{i=0..(n-k)/2} C(k,2k+2i-n)C(k+2*i-1,i)/(k+i), triangle read by rows for n >= 1 and 1 <= k <= n.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	2
12	4
13	6
14	4
15	1
16	2
17	7
18	10
19	10
20	5
21	1
22	5
23	10
24	18
25	20
26	15
27	6
28	1
29	5
30	19
31	30
32	39
33	35
34	21
35	7
36	1
37	14
38	28
39	55
40	72
41	75
42	56
43	28
44	8
45	1
46	14
47	56
48	93
49	136
50	151
51	132
52	84
53	36
54	9
55	1
56	42
57	84
58	174
59	248
60	300
61	288
62	217
63	120
64	45
65	10
66	1