A253273 - cp's OEIS frontend

A253273 Triangle T(n,k) = Sum_{j=0..n-k+1} binomial(k+j,k-j+1)*binomial(n-k,j-1), read by rows.

n	a(n)
0	1
1	1
2	2
3	1
4	3
5	3
6	1
7	4
8	7
9	4
10	1
11	5
12	12
13	14
14	5
15	1
16	6
17	18
18	30
19	25
20	6
21	1
22	7
23	25
24	53
25	66
26	41
27	7
28	1
29	8
30	33
31	84
32	136
33	132
34	63
35	8
36	1
37	9
38	42
39	124
40	244
41	315
42	245
43	92
44	9
45	1
46	10
47	52
48	174
49	400
50	636
51	673
52	428
53	129
54	10
55	1
56	11
57	63
58	235
59	615
60	1152
61	1522
62	1346
63	711
64	175
65	11

[1, 1, 2, 1, 3, 3, 1, 4, 7, 4, 1, 5, 12, 14, 5, 1, 6, 18, 30, 25, 6, 1, 7, 25, 53, 66, 41, 7, 1, 8, 33, 84, 136, 132, 63, 8, 1, 9, 42, 124, 244, 315, 245, 92, 9, 1, 10, 52, 174, 400, 636, 673, 428, 129, 10, 1, 11, 63, 235, 615, 1152, 1522, 1346, 711, 175, 11]

cp's OEIS Frontend

A253273 Triangle T(n,k) = Sum_{j=0..n-k+1} binomial(k+j,k-j+1)*binomial(n-k,j-1), read by rows.

Table of values

List of values