A288972 - cp's OEIS frontend

A288972 Number A(n,k) of Dyck paths having exactly k peaks in each of the levels 1,...,n and no other peaks; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	9
13	10
14	1
15	1
16	1
17	44
18	471
19	92
20	1
21	1
22	1
23	225
24	27076
25	82899
26	1348
27	1
28	1
29	1
30	1182
31	1713955
32	102695344
33	36913581
34	28808
35	1
36	1
37	1
38	6321
39	114751470
40	147556480375
41	1565018426896
42	34878248649
43	845800
44	1

[1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 9, 10, 1, 1, 1, 44, 471, 92, 1, 1, 1, 225, 27076, 82899, 1348, 1, 1, 1, 1182, 1713955, 102695344, 36913581, 28808, 1, 1, 1, 6321, 114751470, 147556480375, 1565018426896, 34878248649, 845800, 1]

cp's OEIS Frontend

A288972 Number A(n,k) of Dyck paths having exactly k peaks in each of the levels 1,...,n and no other peaks; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values