A224211 - cp's OEIS frontend

A224211 Irregular triangular array read by rows. T(n,k) is the number of n-permutations with exactly k distinct cycle lengths; n>=1, 1<=k<=floor( (-1+(1+8n)^(1/2))/2 ).

n	a(n)
1	1
2	1
3	2
4	3
5	6
6	8
7	24
8	50
9	120
10	234
11	120
12	720
13	1764
14	630
15	5040
16	11808
17	7392
18	40320
19	109584
20	69552
21	362880
22	954000
23	763200
24	151200
25	3628800
26	10628640
27	8165520
28	1330560
29	39916800
30	113891040
31	109010880
32	25280640
33	479001600
34	1486442880
35	1345687200
36	381775680
37	6227020800
38	18913184640
39	19773804960
40	6763236480
41	87178291200
42	283465647360
43	291950568000
44	102508005600
45	10897286400

[1, 1, 2, 3, 6, 8, 24, 50, 120, 234, 120, 720, 1764, 630, 5040, 11808, 7392, 40320, 109584, 69552, 362880, 954000, 763200, 151200, 3628800, 10628640, 8165520, 1330560, 39916800, 113891040, 109010880, 25280640, 479001600, 1486442880, 1345687200, 381775680, 6227020800, 18913184640, 19773804960, 6763236480, 87178291200, 283465647360, 291950568000, 102508005600, 10897286400]

cp's OEIS Frontend

A224211 Irregular triangular array read by rows. T(n,k) is the number of n-permutations with exactly k distinct cycle lengths; n>=1, 1<=k<=floor( (-1+(1+8n)^(1/2))/2 ).

Table of values

List of values