A238121 - cp's OEIS frontend

A238121 Triangle read by rows: T(n,k) gives the number of ballot sequences of length n having exactly k descents, n>=0, 0<=k<=n.

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	0
6	3
7	1
8	0
9	0
10	5
11	5
12	0
13	0
14	0
15	7
16	16
17	3
18	0
19	0
20	0
21	11
22	43
23	21
24	1
25	0
26	0
27	0
28	15
29	99
30	101
31	17
32	0
33	0
34	0
35	0
36	22
37	215
38	373
39	145
40	9
41	0
42	0
43	0
44	0
45	30
46	430
47	1174
48	836
49	146
50	4
51	0
52	0
53	0
54	0
55	42
56	834
57	3337
58	3846
59	1324
60	112
61	1
62	0
63	0
64	0
65	0
66	56
67	1529
68	8642
69	15002
70	8786
71	1615
72	66
73	0
74	0
75	0
76	0
77	0
78	77
79	2765
80	21148
81	52132
82	47013
83	15403
84	1582
85	32
86	0
87	0
88	0
89	0
90	0

[1, 1, 0, 2, 0, 0, 3, 1, 0, 0, 5, 5, 0, 0, 0, 7, 16, 3, 0, 0, 0, 11, 43, 21, 1, 0, 0, 0, 15, 99, 101, 17, 0, 0, 0, 0, 22, 215, 373, 145, 9, 0, 0, 0, 0, 30, 430, 1174, 836, 146, 4, 0, 0, 0, 0, 42, 834, 3337, 3846, 1324, 112, 1, 0, 0, 0, 0, 56, 1529, 8642, 15002, 8786, 1615, 66, 0, 0, 0, 0, 0, 77, 2765, 21148, 52132, 47013, 15403, 1582, 32, 0, 0, 0, 0, 0]

cp's OEIS Frontend

A238121 Triangle read by rows: T(n,k) gives the number of ballot sequences of length n having exactly k descents, n>=0, 0<=k<=n.

Table of values

List of values