A304777 - cp's OEIS frontend

A304777 Number of partitions p of n such that the sequence of level steps (when interpreted as ascents) and descents of p forms a Dyck path.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	2
8	2
9	2
10	2
11	4
12	3
13	4
14	3
15	6
16	5
17	7
18	5
19	9
20	10
21	12
22	10
23	15
24	13
25	18
26	19
27	27
28	20
29	30
30	30
31	40
32	40
33	52
34	48
35	61
36	61
37	77
38	79
39	100
40	99
41	124
42	129
43	150
44	150
45	200
46	199
47	240
48	249
49	294
50	303
51	363
52	369
53	441
54	484
55	550
56	569
57	686
58	716
59	817
60	885
61	1003
62	1065

[1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 4, 3, 4, 3, 6, 5, 7, 5, 9, 10, 12, 10, 15, 13, 18, 19, 27, 20, 30, 30, 40, 40, 52, 48, 61, 61, 77, 79, 100, 99, 124, 129, 150, 150, 200, 199, 240, 249, 294, 303, 363, 369, 441, 484, 550, 569, 686, 716, 817, 885, 1003, 1065]

cp's OEIS Frontend

A304777 Number of partitions p of n such that the sequence of level steps (when interpreted as ascents) and descents of p forms a Dyck path.

Table of values

List of values