A180188 - cp's OEIS frontend

A180188 Triangle read by rows: T(n,k) is the number of permutations of [n] with k circular successions (0<=k<=n-1). A circular succession in a permutation p of [n] is either a pair p(i), p(i+1), where p(i+1)=p(i)+1 or the pair p(n), p(1) if p(1)=p(n)+1.

n	a(n)
1	1
2	0
3	2
4	3
5	0
6	3
7	8
8	12
9	0
10	4
11	45
12	40
13	30
14	0
15	5
16	264
17	270
18	120
19	60
20	0
21	6
22	1855
23	1848
24	945
25	280
26	105
27	0
28	7
29	14832
30	14840
31	7392
32	2520
33	560
34	168
35	0
36	8
37	133497
38	133488
39	66780
40	22176
41	5670
42	1008
43	252
44	0
45	9
46	1334960
47	1334970
48	667440
49	222600
50	55440
51	11340
52	1680
53	360
54	0

[1, 0, 2, 3, 0, 3, 8, 12, 0, 4, 45, 40, 30, 0, 5, 264, 270, 120, 60, 0, 6, 1855, 1848, 945, 280, 105, 0, 7, 14832, 14840, 7392, 2520, 560, 168, 0, 8, 133497, 133488, 66780, 22176, 5670, 1008, 252, 0, 9, 1334960, 1334970, 667440, 222600, 55440, 11340, 1680, 360, 0]

cp's OEIS Frontend

A180188 Triangle read by rows: T(n,k) is the number of permutations of [n] with k circular successions (0<=k<=n-1). A circular succession in a permutation p of [n] is either a pair p(i), p(i+1), where p(i+1)=p(i)+1 or the pair p(n), p(1) if p(1)=p(n)+1.

Table of values

List of values