A379907 - cp's OEIS frontend

A379907 Triangle read by rows: T(n, k) = Sum_{i=0..n-k} (-1)^(n - k - i) * binomial(n - k, i) * binomial(k + 2i, i) (k + 1) / (k + 1 + i).

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	3
11	4
12	4
13	3
14	1
15	6
16	9
17	9
18	7
19	4
20	1
21	15
22	21
23	21
24	17
25	11
26	5
27	1
28	36
29	51
30	51
31	42
32	29
33	16
34	6
35	1
36	91
37	127
38	127
39	106
40	76
41	46
42	22
43	7
44	1
45	232
46	323
47	323
48	272
49	200
50	128
51	69
52	29
53	8
54	1
55	603
56	835
57	835
58	708
59	530
60	352
61	204
62	99
63	37
64	9
65	1
66	1585
67	2188
68	2188
69	1865
70	1415
71	965
72	587
73	311
74	137
75	46
76	10
77	1

[1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 3, 4, 4, 3, 1, 6, 9, 9, 7, 4, 1, 15, 21, 21, 17, 11, 5, 1, 36, 51, 51, 42, 29, 16, 6, 1, 91, 127, 127, 106, 76, 46, 22, 7, 1, 232, 323, 323, 272, 200, 128, 69, 29, 8, 1, 603, 835, 835, 708, 530, 352, 204, 99, 37, 9, 1, 1585, 2188, 2188, 1865, 1415, 965, 587, 311, 137, 46, 10, 1]

cp's OEIS Frontend

A379907 Triangle read by rows: T(n, k) = Sum_{i=0..n-k} (-1)^(n - k - i) * binomial(n - k, i) * binomial(k + 2i, i) (k + 1) / (k + 1 + i).

Table of values

List of values

cp's OEIS Frontend

A379907 Triangle read by rows: T(n, k) = Sum_{i=0..n-k} (-1)^(n - k - i) * binomial(n - k, i) * binomial(k + 2*i, i) * (k + 1) / (k + 1 + i).

Table of values

List of values

A379907 Triangle read by rows: T(n, k) = Sum_{i=0..n-k} (-1)^(n - k - i) * binomial(n - k, i) * binomial(k + 2i, i) (k + 1) / (k + 1 + i).