A108767 - cp's OEIS frontend

A108767 Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(1,1), d=(1,-2) and have k peaks (i.e., ud's).

n	a(n)
1	1
2	1
3	2
4	1
5	6
6	5
7	1
8	12
9	28
10	14
11	1
12	20
13	90
14	120
15	42
16	1
17	30
18	220
19	550
20	495
21	132
22	1
23	42
24	455
25	1820
26	3003
27	2002
28	429
29	1
30	56
31	840
32	4900
33	12740
34	15288
35	8008
36	1430
37	1
38	72
39	1428
40	11424
41	42840
42	79968
43	74256
44	31824
45	4862
46	1
47	90
48	2280
49	23940
50	122094
51	325584
52	465120

[1, 1, 2, 1, 6, 5, 1, 12, 28, 14, 1, 20, 90, 120, 42, 1, 30, 220, 550, 495, 132, 1, 42, 455, 1820, 3003, 2002, 429, 1, 56, 840, 4900, 12740, 15288, 8008, 1430, 1, 72, 1428, 11424, 42840, 79968, 74256, 31824, 4862, 1, 90, 2280, 23940, 122094, 325584, 465120]

cp's OEIS Frontend

A108767 Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(1,1), d=(1,-2) and have k peaks (i.e., ud's).

Table of values

List of values