A362856 - cp's OEIS frontend

A362856 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} (-k)^(n-j) * j^j * binomial(n,j).

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	4
6	1
7	-1
8	3
9	27
10	1
11	-2
12	4
13	17
14	256
15	1
16	-3
17	7
18	7
19	169
20	3125
21	1
22	-4
23	12
24	-9
25	120
26	2079
27	46656
28	1
29	-5
30	19
31	-37
32	121
33	1373
34	31261
35	823543
36	1
37	-6
38	28
39	-83
40	208
41	797
42	21028
43	554483
44	16777216
45	1
46	-7
47	39
48	-153
49	441
50	21
51	14517
52	373931
53	11336753
54	387420489

[1, 1, 1, 1, 0, 4, 1, -1, 3, 27, 1, -2, 4, 17, 256, 1, -3, 7, 7, 169, 3125, 1, -4, 12, -9, 120, 2079, 46656, 1, -5, 19, -37, 121, 1373, 31261, 823543, 1, -6, 28, -83, 208, 797, 21028, 554483, 16777216, 1, -7, 39, -153, 441, 21, 14517, 373931, 11336753, 387420489]

cp's OEIS Frontend

A362856 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} (-k)^(n-j) * j^j * binomial(n,j).

Table of values

List of values