A129170 - cp's OEIS frontend

A129170 Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n such that the sum of the height of the peaks is k (n >= 0; n <= k <= floor((n+1)^2/4)).

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	3
6	0
7	0
8	0
9	8
10	2
11	0
12	0
13	0
14	0
15	21
16	9
17	6
18	0
19	0
20	0
21	0
22	0
23	55
24	33
25	29
26	16
27	4
28	0
29	0
30	0
31	0
32	0
33	0
34	144
35	111
36	114
37	84
38	60
39	18
40	12
41	0
42	0
43	0
44	0
45	0
46	0
47	0
48	377
49	355
50	409
51	356
52	305
53	199
54	120
55	58
56	32
57	8
58	0
59	0
60	0
61	0
62	0
63	0
64	0
65	0
66	987
67	1098
68	1389
69	1365
70	1308
71	1032
72	843
73	507
74	372
75	204
76	120

[1, 0, 1, 0, 0, 3, 0, 0, 0, 8, 2, 0, 0, 0, 0, 21, 9, 6, 0, 0, 0, 0, 0, 55, 33, 29, 16, 4, 0, 0, 0, 0, 0, 0, 144, 111, 114, 84, 60, 18, 12, 0, 0, 0, 0, 0, 0, 0, 377, 355, 409, 356, 305, 199, 120, 58, 32, 8, 0, 0, 0, 0, 0, 0, 0, 0, 987, 1098, 1389, 1365, 1308, 1032, 843, 507, 372, 204, 120]

cp's OEIS Frontend

A129170 Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n such that the sum of the height of the peaks is k (n >= 0; n <= k <= floor((n+1)^2/4)).

Table of values

List of values