A086856 - cp's OEIS frontend

A086856 Triangle read by rows: T(n,k) = one-half number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1. T(1,0) = 1 by convention.

n	a(n)
1	1
2	0
3	1
4	0
5	2
6	1
7	1
8	5
9	5
10	1
11	7
12	20
13	24
14	8
15	1
16	45
17	115
18	128
19	60
20	11
21	1
22	323
23	790
24	835
25	444
26	113
27	14
28	1
29	2621
30	6217
31	6423
32	3599
33	1099
34	183
35	17
36	1
37	23811
38	55160
39	56410
40	32484
41	11060
42	2224
43	270
44	20
45	1
46	239653
47	545135
48	554306
49	325322
50	118484
51	27152
52	3950
53	374
54	23
55	1
56	2648395

[1, 0, 1, 0, 2, 1, 1, 5, 5, 1, 7, 20, 24, 8, 1, 45, 115, 128, 60, 11, 1, 323, 790, 835, 444, 113, 14, 1, 2621, 6217, 6423, 3599, 1099, 183, 17, 1, 23811, 55160, 56410, 32484, 11060, 2224, 270, 20, 1, 239653, 545135, 554306, 325322, 118484, 27152, 3950, 374, 23, 1, 2648395]

cp's OEIS Frontend

A086856 Triangle read by rows: T(n,k) = one-half number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1. T(1,0) = 1 by convention.

Table of values

List of values