A305466 - cp's OEIS frontend

A305466 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is Sum_{j=0..floor(n/2)} ((n-j)!/j!)binomial(n-j,j)k^(n-2j)(-1)^j.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	-1
6	1
7	2
8	1
9	0
10	1
11	3
12	7
13	2
14	1
15	1
16	4
17	17
18	40
19	7
20	0
21	1
22	5
23	31
24	150
25	313
26	33
27	-1
28	1
29	6
30	49
31	368
32	1783
33	3090
34	191
35	0
36	1
37	7
38	71
39	730
40	5857
41	26595
42	36767
43	1304
44	1
45	1
46	8
47	97
48	1272
49	14551
50	116772
51	476927
52	511648
53	10241
54	0
55	1
56	9
57	127
58	2030
59	30457
60	363045
61	2796671
62	9988872
63	8149601
64	90865
65	-1

[1, 1, 0, 1, 1, -1, 1, 2, 1, 0, 1, 3, 7, 2, 1, 1, 4, 17, 40, 7, 0, 1, 5, 31, 150, 313, 33, -1, 1, 6, 49, 368, 1783, 3090, 191, 0, 1, 7, 71, 730, 5857, 26595, 36767, 1304, 1, 1, 8, 97, 1272, 14551, 116772, 476927, 511648, 10241, 0, 1, 9, 127, 2030, 30457, 363045, 2796671, 9988872, 8149601, 90865, -1]

cp's OEIS Frontend

A305466 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is Sum_{j=0..floor(n/2)} ((n-j)!/j!)binomial(n-j,j)k^(n-2j)(-1)^j.

Table of values

List of values

cp's OEIS Frontend

A305466 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is Sum_{j=0..floor(n/2)} ((n-j)!/j!)*binomial(n-j,j)*k^(n-2*j)*(-1)^j.

Table of values

List of values

A305466 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is Sum_{j=0..floor(n/2)} ((n-j)!/j!)binomial(n-j,j)k^(n-2j)(-1)^j.