A340591 - cp's OEIS frontend

A340591 Number A(n,k) of n*(k+1)-step k-dimensional nonnegative closed lattice walks starting at the origin and using steps that increment all components or decrement one component by 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	6
12	16
13	5
14	1
15	1
16	24
17	288
18	192
19	14
20	1
21	1
22	120
23	9216
24	24444
25	2816
26	42
27	1
28	1
29	720
30	460800
31	7303104
32	2738592
33	46592
34	132
35	1
36	1
37	5040
38	33177600
39	4234233600
40	8204167296
41	361998432
42	835584
43	429
44	1
45	1
46	40320
47	3251404800
48	4223111040000
49	59027412643200
50	11332298092032
51	53414223552
52	15876096
53	1430
54	1

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 6, 16, 5, 1, 1, 24, 288, 192, 14, 1, 1, 120, 9216, 24444, 2816, 42, 1, 1, 720, 460800, 7303104, 2738592, 46592, 132, 1, 1, 5040, 33177600, 4234233600, 8204167296, 361998432, 835584, 429, 1, 1, 40320, 3251404800, 4223111040000, 59027412643200, 11332298092032, 53414223552, 15876096, 1430, 1]

cp's OEIS Frontend

A340591 Number A(n,k) of n*(k+1)-step k-dimensional nonnegative closed lattice walks starting at the origin and using steps that increment all components or decrement one component by 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values