A227655 - cp's OEIS frontend

A227655 Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_k) we have abs(p_{i}-p_{i+1}) <= 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	1
9	1
10	1
11	6
12	4
13	1
14	1
15	1
16	24
17	44
18	8
19	1
20	1
21	1
22	120
23	896
24	320
25	16
26	1
27	1
28	1
29	720
30	29392
31	33904
32	2328
33	32
34	1
35	1
36	1
37	5040
38	1413792
39	7453320
40	1281696
41	16936
42	64
43	1
44	1
45	1
46	40320
47	93770800
48	2940381648
49	1897242448
50	48447504
51	123208
52	128
53	1
54	1

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 4, 1, 1, 1, 24, 44, 8, 1, 1, 1, 120, 896, 320, 16, 1, 1, 1, 720, 29392, 33904, 2328, 32, 1, 1, 1, 5040, 1413792, 7453320, 1281696, 16936, 64, 1, 1, 1, 40320, 93770800, 2940381648, 1897242448, 48447504, 123208, 128, 1, 1]

cp's OEIS Frontend

A227655 Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_k) we have abs(p_{i}-p_{i+1}) <= 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values