A333706 - cp's OEIS frontend

A333706 Number T(n,k) of permutations p of [n] such that |p(i+k) - p(i)| <> k for i in [n-k]; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	2
6	0
7	0
8	4
9	6
10	0
11	2
12	16
13	20
14	24
15	0
16	14
17	44
18	80
19	108
20	120
21	0
22	90
23	200
24	384
25	544
26	672
27	720
28	0
29	646
30	1288
31	2240
32	3264
33	4128
34	4800
35	5040
36	0
37	5242
38	9512
39	15424
40	23040
41	28992
42	34752
43	38880
44	40320
45	0
46	47622
47	78652
48	123456
49	176832
50	231936
51	280512
52	323520
53	352800
54	362880

[1, 0, 1, 0, 0, 2, 0, 0, 4, 6, 0, 2, 16, 20, 24, 0, 14, 44, 80, 108, 120, 0, 90, 200, 384, 544, 672, 720, 0, 646, 1288, 2240, 3264, 4128, 4800, 5040, 0, 5242, 9512, 15424, 23040, 28992, 34752, 38880, 40320, 0, 47622, 78652, 123456, 176832, 231936, 280512, 323520, 352800, 362880]

cp's OEIS Frontend

A333706 Number T(n,k) of permutations p of [n] such that |p(i+k) - p(i)| <> k for i in [n-k]; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values