A157513 - cp's OEIS frontend

A157513 Triangle of numbers of walks in the quarter-plane, of length 2n beginning and ending at the origin using steps {(1,1), (1,0), (-1,0), (-1,-1)} (Gessel steps) arranged according to the number of times the steps (1,1) and (-1,-1) occur.

n	a(n)
0	1
1	1
2	1
3	2
4	7
5	2
6	5
7	37
8	38
9	5
10	14
11	177
12	390
13	187
14	14
15	42
16	806
17	3065
18	3175
19	874
20	42
21	132
22	3566
23	20742
24	37260
25	22254
26	3958
27	132
28	429
29	15485
30	127575
31	351821
32	365433
33	141442
34	17548
35	429
36	1430
37	66373
38	734332
39	2876886
40	4597444
41	3100670
42	839068
43	76627
44	1430

[1, 1, 1, 2, 7, 2, 5, 37, 38, 5, 14, 177, 390, 187, 14, 42, 806, 3065, 3175, 874, 42, 132, 3566, 20742, 37260, 22254, 3958, 132, 429, 15485, 127575, 351821, 365433, 141442, 17548, 429, 1430, 66373, 734332, 2876886, 4597444, 3100670, 839068, 76627, 1430]

cp's OEIS Frontend

A157513 Triangle of numbers of walks in the quarter-plane, of length 2n beginning and ending at the origin using steps {(1,1), (1,0), (-1,0), (-1,-1)} (Gessel steps) arranged according to the number of times the steps (1,1) and (-1,-1) occur.

Table of values

List of values