A316728 - cp's OEIS frontend

A316728 Number T(n,k) of permutations of {0,1,...,2n} with first element k whose sequence of ascents and descents forms a Dyck path; triangle T(n,k), n>=0, 0<=k<=2n, read by rows.

n	a(n)
0	1
1	1
2	1
3	0
4	8
5	7
6	5
7	2
8	0
9	172
10	150
11	121
12	87
13	52
14	22
15	0
16	7296
17	6440
18	5464
19	4411
20	3337
21	2306
22	1380
23	604
24	0
25	518324
26	463578
27	405024
28	344260
29	283073
30	223333
31	166856
32	115250
33	69772
34	31238
35	0
36	55717312
37	50416894
38	44928220
39	39348036
40	33777456
41	28318137
42	23068057
43	18117190
44	13543456
45	9409366
46	5759740
47	2620708
48	0

[1, 1, 1, 0, 8, 7, 5, 2, 0, 172, 150, 121, 87, 52, 22, 0, 7296, 6440, 5464, 4411, 3337, 2306, 1380, 604, 0, 518324, 463578, 405024, 344260, 283073, 223333, 166856, 115250, 69772, 31238, 0, 55717312, 50416894, 44928220, 39348036, 33777456, 28318137, 23068057, 18117190, 13543456, 9409366, 5759740, 2620708, 0]

cp's OEIS Frontend

A316728 Number T(n,k) of permutations of {0,1,...,2n} with first element k whose sequence of ascents and descents forms a Dyck path; triangle T(n,k), n>=0, 0<=k<=2n, read by rows.

Table of values

List of values