A293211 - cp's OEIS frontend

A293211 Triangle T(n,k) is the number of permutations on n elements with at least one k-cycle for 1 <= k <= n.

n	a(n)
1	1
2	1
3	1
4	4
5	3
6	2
7	15
8	9
9	8
10	6
11	76
12	45
13	40
14	30
15	24
16	455
17	285
18	200
19	180
20	144
21	120
22	3186
23	1995
24	1400
25	1260
26	1008
27	840
28	720
29	25487
30	15855
31	11200
32	8820
33	8064
34	6720
35	5760
36	5040
37	229384
38	142695
39	103040
40	79380
41	72576
42	60480
43	51840
44	45360
45	40320
46	2293839
47	1427895
48	1030400
49	793800
50	653184
51	604800
52	518400
53	453600
54	403200
55	362880

[1, 1, 1, 4, 3, 2, 15, 9, 8, 6, 76, 45, 40, 30, 24, 455, 285, 200, 180, 144, 120, 3186, 1995, 1400, 1260, 1008, 840, 720, 25487, 15855, 11200, 8820, 8064, 6720, 5760, 5040, 229384, 142695, 103040, 79380, 72576, 60480, 51840, 45360, 40320, 2293839, 1427895, 1030400, 793800, 653184, 604800, 518400, 453600, 403200, 362880]

cp's OEIS Frontend

A293211 Triangle T(n,k) is the number of permutations on n elements with at least one k-cycle for 1 <= k <= n.

Table of values

List of values