A335748 - cp's OEIS frontend

A335748 T(n,k) = (-1)^n(binomial(2k,k)/(k+1))Sum_{j=0..n} (-1)^jbinomial(k,j)*j^n. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n.

n	a(n)
0	1
1	0
2	1
3	0
4	-1
5	4
6	0
7	1
8	-12
9	30
10	0
11	-1
12	28
13	-180
14	336
15	0
16	1
17	-60
18	750
19	-3360
20	5040
21	0
22	-1
23	124
24	-2700
25	21840
26	-75600
27	95040
28	0
29	1
30	-252
31	9030
32	-117600
33	705600
34	-1995840
35	2162160
36	0
37	-1
38	508
39	-28980
40	571536
41	-5292000
42	25280640
43	-60540480
44	57657600

[1, 0, 1, 0, -1, 4, 0, 1, -12, 30, 0, -1, 28, -180, 336, 0, 1, -60, 750, -3360, 5040, 0, -1, 124, -2700, 21840, -75600, 95040, 0, 1, -252, 9030, -117600, 705600, -1995840, 2162160, 0, -1, 508, -28980, 571536, -5292000, 25280640, -60540480, 57657600]

cp's OEIS Frontend

A335748 T(n,k) = (-1)^n(binomial(2k,k)/(k+1))Sum_{j=0..n} (-1)^jbinomial(k,j)*j^n. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A335748 T(n,k) = (-1)^n*(binomial(2*k,k)/(k+1))*Sum_{j=0..n} (-1)^j*binomial(k,j)*j^n. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n.

Table of values

List of values

A335748 T(n,k) = (-1)^n(binomial(2k,k)/(k+1))Sum_{j=0..n} (-1)^jbinomial(k,j)*j^n. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n.