A304334 - cp's OEIS frontend

A304334 T(n, k) = Sum_{j=0..k} (-1)^jbinomial(2k, j)(k - j)^(2n)/k!, triangle read by rows, n >= 0 and 0 <= k <= n.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	6
6	0
7	1
8	30
9	60
10	0
11	1
12	126
13	840
14	840
15	0
16	1
17	510
18	8820
19	25200
20	15120
21	0
22	1
23	2046
24	84480
25	526680
26	831600
27	332640
28	0
29	1
30	8190
31	780780
32	9609600
33	30270240
34	30270240
35	8648640
36	0
37	1
38	32766
39	7108920
40	164684520
41	929728800
42	1755673920
43	1210809600
44	259459200

[1, 0, 1, 0, 1, 6, 0, 1, 30, 60, 0, 1, 126, 840, 840, 0, 1, 510, 8820, 25200, 15120, 0, 1, 2046, 84480, 526680, 831600, 332640, 0, 1, 8190, 780780, 9609600, 30270240, 30270240, 8648640, 0, 1, 32766, 7108920, 164684520, 929728800, 1755673920, 1210809600, 259459200]

cp's OEIS Frontend

A304334 T(n, k) = Sum_{j=0..k} (-1)^jbinomial(2k, j)(k - j)^(2n)/k!, triangle read by rows, n >= 0 and 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A304334 T(n, k) = Sum_{j=0..k} (-1)^j*binomial(2*k, j)*(k - j)^(2*n)/k!, triangle read by rows, n >= 0 and 0 <= k <= n.

Table of values

List of values

A304334 T(n, k) = Sum_{j=0..k} (-1)^jbinomial(2k, j)(k - j)^(2n)/k!, triangle read by rows, n >= 0 and 0 <= k <= n.