A304330 - cp's OEIS frontend

A304330 T(n, k) = Sum_{j=0..k} (-1)^jbinomial(2k, j)(k - j)^(2n), triangle read by rows, n >= 0 and 0 <= k <= n.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	12
6	0
7	1
8	60
9	360
10	0
11	1
12	252
13	5040
14	20160
15	0
16	1
17	1020
18	52920
19	604800
20	1814400
21	0
22	1
23	4092
24	506880
25	12640320
26	99792000
27	239500800
28	0
29	1
30	16380
31	4684680
32	230630400
33	3632428800
34	21794572800
35	43589145600
36	0
37	1
38	65532
39	42653520
40	3952428480
41	111567456000
42	1264085222400
43	6102480384000
44	10461394944000

[1, 0, 1, 0, 1, 12, 0, 1, 60, 360, 0, 1, 252, 5040, 20160, 0, 1, 1020, 52920, 604800, 1814400, 0, 1, 4092, 506880, 12640320, 99792000, 239500800, 0, 1, 16380, 4684680, 230630400, 3632428800, 21794572800, 43589145600, 0, 1, 65532, 42653520, 3952428480, 111567456000, 1264085222400, 6102480384000, 10461394944000]

cp's OEIS Frontend

A304330 T(n, k) = Sum_{j=0..k} (-1)^jbinomial(2k, j)(k - j)^(2n), triangle read by rows, n >= 0 and 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A304330 T(n, k) = Sum_{j=0..k} (-1)^j*binomial(2*k, j)*(k - j)^(2*n), triangle read by rows, n >= 0 and 0 <= k <= n.

Table of values

List of values

A304330 T(n, k) = Sum_{j=0..k} (-1)^jbinomial(2k, j)(k - j)^(2n), triangle read by rows, n >= 0 and 0 <= k <= n.