A235943 - cp's OEIS frontend

A235943 Number a(n,k) of positions (cyclic permutations) of circular permutations of [n] with exactly k (unspecified) increasing or decreasing modular runs (3-sequences), with clockwise and counterclockwise traversals counted as distinct; triangle a(n,k) read by rows, 0<=k<=n.

n	a(n)
0	0
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	6
10	16
11	0
12	0
13	0
14	8
15	60
16	50
17	0
18	0
19	0
20	10
21	456
22	144
23	108
24	0
25	0
26	0
27	12
28	3458
29	1078
30	294
31	196
32	0
33	0
34	0
35	14
36	29296
37	7936
38	2240
39	512
40	320
41	0
42	0
43	0
44	16
45	275166
46	66096
47	16200
48	4104
49	810
50	486
51	0
52	0
53	0
54	18
55	2843980
56	611200
57	135600
58	29200
59	6900
60	1200
61	700
62	0
63	0
64	0
65	20

[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 16, 0, 0, 0, 8, 60, 50, 0, 0, 0, 10, 456, 144, 108, 0, 0, 0, 12, 3458, 1078, 294, 196, 0, 0, 0, 14, 29296, 7936, 2240, 512, 320, 0, 0, 0, 16, 275166, 66096, 16200, 4104, 810, 486, 0, 0, 0, 18, 2843980, 611200, 135600, 29200, 6900, 1200, 700, 0, 0, 0, 20]

cp's OEIS Frontend

A235943 Number a(n,k) of positions (cyclic permutations) of circular permutations of [n] with exactly k (unspecified) increasing or decreasing modular runs (3-sequences), with clockwise and counterclockwise traversals counted as distinct; triangle a(n,k) read by rows, 0<=k<=n.

Table of values

List of values