A304336 - cp's OEIS frontend

A304336 T(n, k) = Sum_{j=0..k} (-1)^jbinomial(2k, j)(k - j)^(2n)/(k!)^2, triangle read by rows, n >= 0 and 0 <= k <= n.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	3
6	0
7	1
8	15
9	10
10	0
11	1
12	63
13	140
14	35
15	0
16	1
17	255
18	1470
19	1050
20	126
21	0
22	1
23	1023
24	14080
25	21945
26	6930
27	462
28	0
29	1
30	4095
31	130130
32	400400
33	252252
34	42042
35	1716
36	0
37	1
38	16383
39	1184820
40	6861855
41	7747740
42	2438436
43	240240
44	6435

[1, 0, 1, 0, 1, 3, 0, 1, 15, 10, 0, 1, 63, 140, 35, 0, 1, 255, 1470, 1050, 126, 0, 1, 1023, 14080, 21945, 6930, 462, 0, 1, 4095, 130130, 400400, 252252, 42042, 1716, 0, 1, 16383, 1184820, 6861855, 7747740, 2438436, 240240, 6435]

cp's OEIS Frontend

A304336 T(n, k) = Sum_{j=0..k} (-1)^jbinomial(2k, j)(k - j)^(2n)/(k!)^2, triangle read by rows, n >= 0 and 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A304336 T(n, k) = Sum_{j=0..k} (-1)^j*binomial(2*k, j)*(k - j)^(2*n)/(k!)^2, triangle read by rows, n >= 0 and 0 <= k <= n.

Table of values

List of values

A304336 T(n, k) = Sum_{j=0..k} (-1)^jbinomial(2k, j)(k - j)^(2n)/(k!)^2, triangle read by rows, n >= 0 and 0 <= k <= n.