A322378 - cp's OEIS frontend

A322378 Triangle read by rows: T(n,k) is the number of nondecreasing Dyck prefixes (i.e., left factors of nondecreasing Dyck paths) of length n and final height k (0 <= k <= n).

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	0
7	2
8	0
9	1
10	2
11	0
12	3
13	0
14	1
15	0
16	5
17	0
18	4
19	0
20	1
21	5
22	0
23	9
24	0
25	5
26	0
27	1
28	0
29	13
30	0
31	14
32	0
33	6
34	0
35	1
36	13
37	0
38	26
39	0
40	20
41	0
42	7
43	0
44	1
45	0
46	34
47	0
48	45
49	0
50	27
51	0
52	8
53	0
54	1
55	34
56	0
57	73
58	0
59	71
60	0
61	35
62	0
63	9
64	0
65	1
66	0
67	89
68	0
69	137
70	0
71	105
72	0
73	44
74	0
75	10
76	0
77	1
78	89
79	0
80	201
81	0
82	234
83	0
84	148
85	0
86	54
87	0
88	11
89	0
90	1
91	0
92	233
93	0
94	402
95	0
96	373
97	0
98	201
99	0
100	65
101	0
102	12
103	0
104	1
105	233
106	0
107	546
108	0
109	733
110	0
111	564
112	0
113	265
114	0
115	77
116	0
117	13
118	0
119	1
120	0
121	610
122	0
123	1149
124	0
125	1245
126	0
127	818
128	0
129	341
130	0
131	90
132	0
133	14
134	0
135	1

[1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 3, 0, 1, 0, 5, 0, 4, 0, 1, 5, 0, 9, 0, 5, 0, 1, 0, 13, 0, 14, 0, 6, 0, 1, 13, 0, 26, 0, 20, 0, 7, 0, 1, 0, 34, 0, 45, 0, 27, 0, 8, 0, 1, 34, 0, 73, 0, 71, 0, 35, 0, 9, 0, 1, 0, 89, 0, 137, 0, 105, 0, 44, 0, 10, 0, 1, 89, 0, 201, 0, 234, 0, 148, 0, 54, 0, 11, 0, 1, 0, 233, 0, 402, 0, 373, 0, 201, 0, 65, 0, 12, 0, 1, 233, 0, 546, 0, 733, 0, 564, 0, 265, 0, 77, 0, 13, 0, 1, 0, 610, 0, 1149, 0, 1245, 0, 818, 0, 341, 0, 90, 0, 14, 0, 1]

cp's OEIS Frontend

A322378 Triangle read by rows: T(n,k) is the number of nondecreasing Dyck prefixes (i.e., left factors of nondecreasing Dyck paths) of length n and final height k (0 <= k <= n).

Table of values

List of values