A171996 - cp's OEIS frontend

A171996 A(n,k,m) is the number of permutations of an n-set with k disjoint cycles of length less than or equal to m, called the (n,k)-th m-restrained Stirling numbers of the first kind, and denoted by mS_1(n,k). The sequence shows the case of m=3.

n	a(n)
1	1
2	-1
3	1
4	2
5	-3
6	1
7	0
8	11
9	-6
10	1
11	0
12	-20
13	35
14	-10
15	1
16	0
17	40
18	-135
19	85
20	-15
21	1
22	0
23	0
24	490
25	-525
26	175
27	-21
28	1
29	0
30	0
31	-1120
32	2905
33	-1540
34	322
35	-28
36	1
37	0
38	0
39	2240
40	-12600
41	11865
42	-3780
43	546
44	-36
45	1
46	0
47	0
48	0
49	47600
50	-76545
51	38325
52	-8190
53	870
54	-45
55	1

[1, -1, 1, 2, -3, 1, 0, 11, -6, 1, 0, -20, 35, -10, 1, 0, 40, -135, 85, -15, 1, 0, 0, 490, -525, 175, -21, 1, 0, 0, -1120, 2905, -1540, 322, -28, 1, 0, 0, 2240, -12600, 11865, -3780, 546, -36, 1, 0, 0, 0, 47600, -76545, 38325, -8190, 870, -45, 1]

cp's OEIS Frontend

A171996 A(n,k,m) is the number of permutations of an n-set with k disjoint cycles of length less than or equal to m, called the (n,k)-th m-restrained Stirling numbers of the first kind, and denoted by mS_1(n,k). The sequence shows the case of m=3.

Table of values

List of values