A305401 - cp's OEIS frontend

A305401 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).

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	1
6	1
7	2
8	3
9	0
10	1
11	3
12	9
13	10
14	1
15	1
16	4
17	19
18	56
19	43
20	0
21	1
22	5
23	33
24	174
25	457
26	225
27	1
28	1
29	6
30	51
31	400
32	2107
33	4626
34	1393
35	0
36	1
37	7
38	73
39	770
40	6433
41	31779
42	55969
43	9976
44	1
45	1
46	8
47	99
48	1320
49	15451
50	129060
51	574129
52	788192
53	81201
54	0
55	1
56	9
57	129
58	2086
59	31753
60	387045
61	3103873
62	12088488
63	12667041
64	740785
65	1

[1, 1, 0, 1, 1, 1, 1, 2, 3, 0, 1, 3, 9, 10, 1, 1, 4, 19, 56, 43, 0, 1, 5, 33, 174, 457, 225, 1, 1, 6, 51, 400, 2107, 4626, 1393, 0, 1, 7, 73, 770, 6433, 31779, 55969, 9976, 1, 1, 8, 99, 1320, 15451, 129060, 574129, 788192, 81201, 0, 1, 9, 129, 2086, 31753, 387045, 3103873, 12088488, 12667041, 740785, 1]

cp's OEIS Frontend

A305401 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).

Table of values

List of values

cp's OEIS Frontend

A305401 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).

Table of values

List of values

A305401 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).