A177252 - cp's OEIS frontend

A177252 Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent 4-cycles (0 <= k <= floor(n/4)), i.e., having k cycles of the form (i, i+1, i+2, i+3).

n	a(n)
0	1
1	1
2	2
3	6
4	23
5	1
6	118
7	2
8	714
9	6
10	5016
11	24
12	40201
13	118
14	1
15	362163
16	714
17	3
18	3623772
19	5016
20	12
21	39876540
22	40200
23	60
24	478639079
25	362163
26	357
27	1
28	6223394516
29	3623772
30	2508
31	4
32	87138394540
33	39876540
34	20100
35	20
36	1307195547720
37	478639080
38	181080
39	120

[1, 1, 2, 6, 23, 1, 118, 2, 714, 6, 5016, 24, 40201, 118, 1, 362163, 714, 3, 3623772, 5016, 12, 39876540, 40200, 60, 478639079, 362163, 357, 1, 6223394516, 3623772, 2508, 4, 87138394540, 39876540, 20100, 20, 1307195547720, 478639080, 181080, 120]

cp's OEIS Frontend

A177252 Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent 4-cycles (0 <= k <= floor(n/4)), i.e., having k cycles of the form (i, i+1, i+2, i+3).

Table of values

List of values