A132893 - cp's OEIS frontend

A132893 Triangle read by rows: T(n,k) is the number of paths of length n with steps U=(1,1), D=(1,-1) and H=(1,0), starting at (0,0), staying weakly above the x-axis (i.e., left factors of Motzkin paths) and having k peaks (i.e., UDs), 0 <= k <= floor(n/2).

n	a(n)
0	1
1	2
2	4
3	1
4	9
5	4
6	21
7	13
8	1
9	50
10	40
11	6
12	121
13	118
14	27
15	1
16	296
17	340
18	106
19	8
20	730
21	965
22	381
23	46
24	1
25	1812
26	2708
27	1296
28	220
29	10
30	4521
31	7535
32	4241
33	935
34	70
35	1
36	11328
37	20828
38	13482
39	3676
40	395
41	12
42	28485
43	57266
44	41916
45	13658
46	1940
47	99
48	1

[1, 2, 4, 1, 9, 4, 21, 13, 1, 50, 40, 6, 121, 118, 27, 1, 296, 340, 106, 8, 730, 965, 381, 46, 1, 1812, 2708, 1296, 220, 10, 4521, 7535, 4241, 935, 70, 1, 11328, 20828, 13482, 3676, 395, 12, 28485, 57266, 41916, 13658, 1940, 99, 1]

cp's OEIS Frontend

A132893 Triangle read by rows: T(n,k) is the number of paths of length n with steps U=(1,1), D=(1,-1) and H=(1,0), starting at (0,0), staying weakly above the x-axis (i.e., left factors of Motzkin paths) and having k peaks (i.e., UDs), 0 <= k <= floor(n/2).

Table of values

List of values