A108443 - cp's OEIS frontend

A108443 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=(2,1), U=(1,2), or d=(1,-1) and have k triple descents (i.e., ddd's).

n	a(n)
0	1
1	2
2	6
3	3
4	1
5	21
6	24
7	15
8	5
9	1
10	80
11	150
12	145
13	84
14	31
15	7
16	1
17	322
18	857
19	1145
20	949
21	528
22	202
23	53
24	9
25	1
26	1347
27	4692
28	8096
29	8801
30	6598
31	3551
32	1394
33	398
34	81
35	11
36	1
37	5798
38	25102
39	53457
40	72338
41	68594
42	47805
43	25092
44	10019
45	3040
46	692
47	115
48	13
49	1
50	25512
51	132484
52	337132

[1, 2, 6, 3, 1, 21, 24, 15, 5, 1, 80, 150, 145, 84, 31, 7, 1, 322, 857, 1145, 949, 528, 202, 53, 9, 1, 1347, 4692, 8096, 8801, 6598, 3551, 1394, 398, 81, 11, 1, 5798, 25102, 53457, 72338, 68594, 47805, 25092, 10019, 3040, 692, 115, 13, 1, 25512, 132484, 337132]

cp's OEIS Frontend

A108443 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=(2,1), U=(1,2), or d=(1,-1) and have k triple descents (i.e., ddd's).

Table of values

List of values