A261762 - cp's OEIS frontend

A261762 Triangle read by rows: T(n,k) is the number of subpermutations of an n-set whose orbits are each of size at most k, and without fixed points. Equivalently, T(n,k) is the number of partial derangements of an n-set each of whose orbits is of size at most k.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	4
6	1
7	1
8	10
9	18
10	1
11	1
12	46
13	78
14	108
15	1
16	1
17	166
18	486
19	636
20	780
21	1
22	1
23	856
24	3096
25	4896
26	5760
27	6600
28	1
29	1
30	3844
31	21204
32	40104
33	52200
34	58080
35	63840
36	1
37	1
38	21820
39	167868
40	363168
41	508320
42	602400
43	648480
44	693840
45	1
46	1
47	114076
48	1370268
49	3490848
50	5450400
51	6720480

[1, 1, 1, 1, 1, 4, 1, 1, 10, 18, 1, 1, 46, 78, 108, 1, 1, 166, 486, 636, 780, 1, 1, 856, 3096, 4896, 5760, 6600, 1, 1, 3844, 21204, 40104, 52200, 58080, 63840, 1, 1, 21820, 167868, 363168, 508320, 602400, 648480, 693840, 1, 1, 114076, 1370268, 3490848, 5450400, 6720480]

cp's OEIS Frontend

A261762 Triangle read by rows: T(n,k) is the number of subpermutations of an n-set whose orbits are each of size at most k, and without fixed points. Equivalently, T(n,k) is the number of partial derangements of an n-set each of whose orbits is of size at most k.

Table of values

List of values