A092583 - cp's OEIS frontend

A092583 Triangle read by rows: T(n,k) is the number of permutations p of [n] in which the length of the longest initial segment avoiding the 123-pattern is equal to k.

n	a(n)
1	1
2	0
3	2
4	0
5	1
6	5
7	0
8	4
9	6
10	14
11	0
12	20
13	30
14	28
15	42
16	0
17	120
18	180
19	168
20	120
21	132
22	0
23	840
24	1260
25	1176
26	840
27	495
28	429
29	0
30	6720
31	10080
32	9408
33	6720
34	3960
35	2002
36	1430
37	0
38	60480
39	90720
40	84672
41	60480
42	35640
43	18018
44	8008
45	4862
46	0
47	604800
48	907200
49	846720
50	604800
51	356400
52	180180
53	80080
54	31824
55	16796

[1, 0, 2, 0, 1, 5, 0, 4, 6, 14, 0, 20, 30, 28, 42, 0, 120, 180, 168, 120, 132, 0, 840, 1260, 1176, 840, 495, 429, 0, 6720, 10080, 9408, 6720, 3960, 2002, 1430, 0, 60480, 90720, 84672, 60480, 35640, 18018, 8008, 4862, 0, 604800, 907200, 846720, 604800, 356400, 180180, 80080, 31824, 16796]

cp's OEIS Frontend

A092583 Triangle read by rows: T(n,k) is the number of permutations p of [n] in which the length of the longest initial segment avoiding the 123-pattern is equal to k.

Table of values

List of values