A132894 - cp's OEIS frontend

A132894 Number of (1,0) steps in all 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., in all length-n left factors of Motzkin paths).

n	a(n)
0	0
1	1
2	4
3	15
4	52
5	175
6	576
7	1869
8	6000
9	19107
10	60460
11	190333
12	596652
13	1863745
14	5804176
15	18028755
16	55873872
17	172818243
18	533589660
19	1644921789
20	5063762220
21	15568666029
22	47811348816
23	146675181975
24	449538774048
25	1376564658525

[0, 1, 4, 15, 52, 175, 576, 1869, 6000, 19107, 60460, 190333, 596652, 1863745, 5804176, 18028755, 55873872, 172818243, 533589660, 1644921789, 5063762220, 15568666029, 47811348816, 146675181975, 449538774048, 1376564658525]

cp's OEIS Frontend

A132894 Number of (1,0) steps in all 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., in all length-n left factors of Motzkin paths).

Table of values

List of values