A109192 - cp's OEIS frontend

A109192 Number of Grand Motzkin paths of length n and having no hills (i.e., no ud's starting at level 0). (A Grand Motzkin path of length n is a path in the half-plane x >= 0, starting at (0,0), ending at (n,0) and consisting of steps u=(1,1), d=(1,-1) and h=(1,0).)

n	a(n)
0	1
1	1
2	2
3	5
4	13
5	34
6	91
7	247
8	678
9	1877
10	5233
11	14674
12	41349
13	117001
14	332260
15	946527
16	2703915
17	7743268
18	22223607
19	63909987
20	184121946
21	531318553
22	1535522513
23	4443815554
24	12876794147
25	37356832679
26	108494114718
27	315415738025

[1, 1, 2, 5, 13, 34, 91, 247, 678, 1877, 5233, 14674, 41349, 117001, 332260, 946527, 2703915, 7743268, 22223607, 63909987, 184121946, 531318553, 1535522513, 4443815554, 12876794147, 37356832679, 108494114718, 315415738025]

cp's OEIS Frontend

A109192 Number of Grand Motzkin paths of length n and having no hills (i.e., no ud's starting at level 0). (A Grand Motzkin path of length n is a path in the half-plane x >= 0, starting at (0,0), ending at (n,0) and consisting of steps u=(1,1), d=(1,-1) and h=(1,0).)

Table of values

List of values