A303564 - cp's OEIS frontend

A303564 Number T(n,k) of derangements of [n] having exactly k peaks; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows.

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	3
6	6
7	5
8	33
9	6
10	11
11	152
12	102
13	21
14	663
15	1068
16	102
17	43
18	2778
19	9060
20	2952
21	85
22	11413
23	68250
24	50796
25	2952
26	171
27	46332
28	477978
29	679368
30	131112
31	341
32	186867
33	3192192
34	7824834
35	3349224
36	131112
37	683
38	750878
39	20648088
40	81751824
41	64791576
42	8271792

[1, 0, 1, 1, 1, 3, 6, 5, 33, 6, 11, 152, 102, 21, 663, 1068, 102, 43, 2778, 9060, 2952, 85, 11413, 68250, 50796, 2952, 171, 46332, 477978, 679368, 131112, 341, 186867, 3192192, 7824834, 3349224, 131112, 683, 750878, 20648088, 81751824, 64791576, 8271792]

cp's OEIS Frontend

A303564 Number T(n,k) of derangements of [n] having exactly k peaks; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows.

Table of values

List of values