A008304 - cp's OEIS frontend

A008304 Triangle read by rows: T(n,k) (n>=1; 1<=k<=n) is the number of permutations of [n] in which the longest increasing run has length k.

n	a(n)
1	1
2	1
3	1
4	1
5	4
6	1
7	1
8	16
9	6
10	1
11	1
12	69
13	41
14	8
15	1
16	1
17	348
18	293
19	67
20	10
21	1
22	1
23	2016
24	2309
25	602
26	99
27	12
28	1
29	1
30	13357
31	19975
32	5811
33	1024
34	137
35	14
36	1
37	1
38	99376
39	189524
40	60875
41	11304
42	1602
43	181
44	16
45	1
46	1
47	822040
48	1960041
49	690729
50	133669
51	19710
52	2360
53	231
54	18
55	1
56	1
57	7477161

[1, 1, 1, 1, 4, 1, 1, 16, 6, 1, 1, 69, 41, 8, 1, 1, 348, 293, 67, 10, 1, 1, 2016, 2309, 602, 99, 12, 1, 1, 13357, 19975, 5811, 1024, 137, 14, 1, 1, 99376, 189524, 60875, 11304, 1602, 181, 16, 1, 1, 822040, 1960041, 690729, 133669, 19710, 2360, 231, 18, 1, 1, 7477161]

cp's OEIS Frontend

A008304 Triangle read by rows: T(n,k) (n>=1; 1<=k<=n) is the number of permutations of [n] in which the longest increasing run has length k.

Table of values

List of values