A362394 - cp's OEIS frontend

A362394 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (-k/2)^j * (j+1)^(n-j-1) / (j! * (n-2*j)!).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	0
9	1
10	1
11	1
12	-1
13	-5
14	1
15	1
16	1
17	-2
18	-11
19	-14
20	1
21	1
22	1
23	-3
24	-17
25	-11
26	56
27	1
28	1
29	1
30	-4
31	-23
32	10
33	381
34	736
35	1
36	1
37	1
38	-5
39	-29
40	49
41	976
42	2461
43	1114
44	1
45	1
46	1
47	-6
48	-35
49	106
50	1841
51	3736
52	-21083
53	-45156
54	1
55	1
56	1
57	-7
58	-41
59	181
60	2976
61	3121
62	-106910
63	-449623
64	-428660
65	1

[1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, -1, -5, 1, 1, 1, -2, -11, -14, 1, 1, 1, -3, -17, -11, 56, 1, 1, 1, -4, -23, 10, 381, 736, 1, 1, 1, -5, -29, 49, 976, 2461, 1114, 1, 1, 1, -6, -35, 106, 1841, 3736, -21083, -45156, 1, 1, 1, -7, -41, 181, 2976, 3121, -106910, -449623, -428660, 1]

cp's OEIS Frontend

A362394 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (-k/2)^j * (j+1)^(n-j-1) / (j! * (n-2*j)!).

Table of values

List of values