A247493 - cp's OEIS frontend

A247493 Triangle read by rows: T(n, k) = C(n, k)C(2k, k)/(k+1) - sum(j = 0..k, (-1)^j(1-j)^nC(k, j)/k!), 0<=k<=n.

n	a(n)
0	0
1	0
2	0
3	0
4	1
5	1
6	0
7	2
8	6
9	4
10	0
11	3
12	11
13	22
14	13
15	0
16	4
17	20
18	45
19	75
20	41
21	0
22	5
23	29
24	110
25	190
26	261
27	131
28	0
29	6
30	42
31	154
32	560
33	826
34	938
35	428
36	0
37	7
38	55
39	322
40	749
41	2646
42	3570
43	3452
44	1429
45	0
46	8
47	72
48	335
49	2499
50	3885
51	12012
52	15198
53	12897
54	4861
55	0
56	9
57	89
58	770
59	650
60	16947
61	21693
62	53880
63	63915
64	48655
65	16795
66	0
67	10
68	110
69	484
70	11660
71	-8338
72	97482

[0, 0, 0, 0, 1, 1, 0, 2, 6, 4, 0, 3, 11, 22, 13, 0, 4, 20, 45, 75, 41, 0, 5, 29, 110, 190, 261, 131, 0, 6, 42, 154, 560, 826, 938, 428, 0, 7, 55, 322, 749, 2646, 3570, 3452, 1429, 0, 8, 72, 335, 2499, 3885, 12012, 15198, 12897, 4861, 0, 9, 89, 770, 650, 16947, 21693, 53880, 63915, 48655, 16795, 0, 10, 110, 484, 11660, -8338, 97482]

cp's OEIS Frontend

A247493 Triangle read by rows: T(n, k) = C(n, k)C(2k, k)/(k+1) - sum(j = 0..k, (-1)^j(1-j)^nC(k, j)/k!), 0<=k<=n.

Table of values

List of values

cp's OEIS Frontend

A247493 Triangle read by rows: T(n, k) = C(n, k)*C(2*k, k)/(k+1) - sum(j = 0..k, (-1)^j*(1-j)^n*C(k, j)/k!), 0<=k<=n.

Table of values

List of values

A247493 Triangle read by rows: T(n, k) = C(n, k)C(2k, k)/(k+1) - sum(j = 0..k, (-1)^j(1-j)^nC(k, j)/k!), 0<=k<=n.