A097885 - cp's OEIS frontend

A097885 Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k valleys (n>=0, 0<=k<=floor(n/2)-1; a valley is a downstep followed by an upstep).

n	a(n)
0	1
1	1
2	2
3	4
4	8
5	1
6	17
7	4
8	37
9	13
10	1
11	82
12	40
13	5
14	185
15	116
16	21
17	1
18	423
19	326
20	80
21	6
22	978
23	899
24	279
25	31
26	1
27	2283
28	2444
29	924
30	140
31	7
32	5373
33	6578
34	2948
35	568
36	43
37	1
38	12735
39	17576
40	9136
41	2156
42	224
43	8
44	30372
45	46702
46	27690
47	7777
48	1035
49	57
50	1
51	72832
52	123568
53	82453
54	26952
55	4422

[1, 1, 2, 4, 8, 1, 17, 4, 37, 13, 1, 82, 40, 5, 185, 116, 21, 1, 423, 326, 80, 6, 978, 899, 279, 31, 1, 2283, 2444, 924, 140, 7, 5373, 6578, 2948, 568, 43, 1, 12735, 17576, 9136, 2156, 224, 8, 30372, 46702, 27690, 7777, 1035, 57, 1, 72832, 123568, 82453, 26952, 4422]

cp's OEIS Frontend

A097885 Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k valleys (n>=0, 0<=k<=floor(n/2)-1; a valley is a downstep followed by an upstep).

Table of values

List of values