A261765 - cp's OEIS frontend

A261765 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 with at least one orbit of size exactly 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 with at least one orbit of size exactly k, and without fixed points.

n	a(n)
0	1
1	1
2	0
3	1
4	0
5	3
6	1
7	0
8	9
9	8
10	1
11	0
12	45
13	32
14	30
15	1
16	0
17	165
18	320
19	150
20	144
21	1
22	0
23	855
24	2240
25	1800
26	864
27	840
28	1
29	0
30	3843
31	17360
32	18900
33	12096
34	5880
35	5760
36	1
37	0
38	21819
39	146048
40	195300
41	145152
42	94080
43	46080
44	45360
45	1
46	0
47	114075
48	1256192
49	2120580
50	1959552
51	1270080
52	829440
53	408240
54	403200

[1, 1, 0, 1, 0, 3, 1, 0, 9, 8, 1, 0, 45, 32, 30, 1, 0, 165, 320, 150, 144, 1, 0, 855, 2240, 1800, 864, 840, 1, 0, 3843, 17360, 18900, 12096, 5880, 5760, 1, 0, 21819, 146048, 195300, 145152, 94080, 46080, 45360, 1, 0, 114075, 1256192, 2120580, 1959552, 1270080, 829440, 408240, 403200]

cp's OEIS Frontend

Table of values

List of values