A349740 - cp's OEIS frontend

A349740 Number of partitions of set [n] in a set of <= k noncrossing subsets. Number of Dyck n-paths with at most k peaks. Both with 0 <= k <= n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	2
6	0
7	1
8	4
9	5
10	0
11	1
12	7
13	13
14	14
15	0
16	1
17	11
18	31
19	41
20	42
21	0
22	1
23	16
24	66
25	116
26	131
27	132
28	0
29	1
30	22
31	127
32	302
33	407
34	428
35	429
36	0
37	1
38	29
39	225
40	715
41	1205
42	1401
43	1429
44	1430
45	0
46	1
47	37
48	373
49	1549
50	3313
51	4489
52	4825
53	4861
54	4862
55	0
56	1
57	46
58	586
59	3106
60	8398
61	13690
62	16210
63	16750
64	16795
65	16796

[1, 0, 1, 0, 1, 2, 0, 1, 4, 5, 0, 1, 7, 13, 14, 0, 1, 11, 31, 41, 42, 0, 1, 16, 66, 116, 131, 132, 0, 1, 22, 127, 302, 407, 428, 429, 0, 1, 29, 225, 715, 1205, 1401, 1429, 1430, 0, 1, 37, 373, 1549, 3313, 4489, 4825, 4861, 4862, 0, 1, 46, 586, 3106, 8398, 13690, 16210, 16750, 16795, 16796]

cp's OEIS Frontend

A349740 Number of partitions of set [n] in a set of <= k noncrossing subsets. Number of Dyck n-paths with at most k peaks. Both with 0 <= k <= n, read by rows.

Table of values

List of values