A055450 - cp's OEIS frontend

A055450 Path-counting array T; each step of a path is (1 right) or (1 up) to a point below line y=x, else (1 right and 1 up) or (1 up) to a point on the line y=x, else (1 left) or (1 up) to a point above line y=x. T(i,j)=number of paths to point (i-j,j), for 1<=j<=i, i >= 1.

n	a(n)
0	1
1	1
2	3
3	1
4	2
5	10
6	1
7	3
8	7
9	36
10	1
11	4
12	5
13	26
14	137
15	1
16	5
17	9
18	19
19	101
20	543
21	1
22	6
23	14
24	14
25	75
26	406
27	2219
28	1
29	7
30	20
31	28
32	56
33	305
34	1676
35	9285
36	1
37	8
38	27
39	48
40	42
41	230
42	1270
43	7066
44	39587
45	1
46	9
47	35
48	75
49	90
50	174
51	965
52	5390
53	30302
54	171369
55	1
56	10
57	44
58	110
59	165
60	132
61	735
62	4120
63	23236
64	131782
65	751236

[1, 1, 3, 1, 2, 10, 1, 3, 7, 36, 1, 4, 5, 26, 137, 1, 5, 9, 19, 101, 543, 1, 6, 14, 14, 75, 406, 2219, 1, 7, 20, 28, 56, 305, 1676, 9285, 1, 8, 27, 48, 42, 230, 1270, 7066, 39587, 1, 9, 35, 75, 90, 174, 965, 5390, 30302, 171369, 1, 10, 44, 110, 165, 132, 735, 4120, 23236, 131782, 751236]

cp's OEIS Frontend

A055450 Path-counting array T; each step of a path is (1 right) or (1 up) to a point below line y=x, else (1 right and 1 up) or (1 up) to a point on the line y=x, else (1 left) or (1 up) to a point above line y=x. T(i,j)=number of paths to point (i-j,j), for 1<=j<=i, i >= 1.

Table of values

List of values