A306814 - cp's OEIS frontend

A306814 Number T(n,k) of n-step paths from (0,0) to (0,k) that stay in the first quadrant (but may touch the axes) consisting of steps (-1,0), (0,1), (0,-1) and (1,-1); triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	3
12	3
13	0
14	1
15	7
16	5
17	6
18	4
19	0
20	1
21	10
22	23
23	9
24	10
25	5
26	0
27	1
28	38
29	35
30	51
31	14
32	15
33	6
34	0
35	1
36	89
37	131
38	84
39	94
40	20
41	21
42	7
43	0
44	1
45	229
46	355
47	309
48	168
49	155
50	27
51	28
52	8
53	0
54	1
55	752
56	874
57	947
58	608
59	300
60	237
61	35
62	36
63	9
64	0
65	1
66	1873
67	3081
68	2292
69	2075
70	1070
71	495
72	343
73	44
74	45
75	10
76	0
77	1

[1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 3, 3, 0, 1, 7, 5, 6, 4, 0, 1, 10, 23, 9, 10, 5, 0, 1, 38, 35, 51, 14, 15, 6, 0, 1, 89, 131, 84, 94, 20, 21, 7, 0, 1, 229, 355, 309, 168, 155, 27, 28, 8, 0, 1, 752, 874, 947, 608, 300, 237, 35, 36, 9, 0, 1, 1873, 3081, 2292, 2075, 1070, 495, 343, 44, 45, 10, 0, 1]

cp's OEIS Frontend

A306814 Number T(n,k) of n-step paths from (0,0) to (0,k) that stay in the first quadrant (but may touch the axes) consisting of steps (-1,0), (0,1), (0,-1) and (1,-1); triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values