A335570 - cp's OEIS frontend

A335570 Number A(n,k) of n-step k-dimensional nonnegative 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	1
8	2
9	1
10	1
11	1
12	3
13	3
14	1
15	1
16	1
17	4
18	7
19	6
20	1
21	1
22	1
23	5
24	13
25	17
26	10
27	1
28	1
29	1
30	6
31	21
32	40
33	47
34	20
35	1
36	1
37	1
38	7
39	31
40	81
41	136
42	125
43	35
44	1
45	1
46	1
47	8
48	43
49	146
50	325
51	496
52	333
53	70
54	1
55	1
56	1
57	9
58	57
59	241
60	686
61	1433
62	1753
63	939
64	126
65	1
66	1
67	1
68	10
69	73
70	372
71	1315
72	3476
73	6473
74	6256
75	2597
76	252
77	1

[1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 7, 6, 1, 1, 1, 5, 13, 17, 10, 1, 1, 1, 6, 21, 40, 47, 20, 1, 1, 1, 7, 31, 81, 136, 125, 35, 1, 1, 1, 8, 43, 146, 325, 496, 333, 70, 1, 1, 1, 9, 57, 241, 686, 1433, 1753, 939, 126, 1, 1, 1, 10, 73, 372, 1315, 3476, 6473, 6256, 2597, 252, 1]

cp's OEIS Frontend

A335570 Number A(n,k) of n-step k-dimensional nonnegative 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