A344855 - cp's OEIS frontend

A344855 Number T(n,k) of permutations of [n] having k cycles of the form (c1, c2, ..., c_m) where c1 = min_{i>=1} c_i and c_j = min_{i>=j} c_i or c_j = max_{i>=j} c_i; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	2
8	3
9	1
10	0
11	4
12	11
13	6
14	1
15	0
16	8
17	40
18	35
19	10
20	1
21	0
22	16
23	148
24	195
25	85
26	15
27	1
28	0
29	32
30	560
31	1078
32	665
33	175
34	21
35	1
36	0
37	64
38	2160
39	5992
40	5033
41	1820
42	322
43	28
44	1
45	0
46	128
47	8448
48	33632
49	37632
50	17913
51	4284
52	546
53	36
54	1
55	0
56	256
57	33344
58	190800
59	280760
60	171465
61	52941
62	9030
63	870
64	45
65	1

[1, 0, 1, 0, 1, 1, 0, 2, 3, 1, 0, 4, 11, 6, 1, 0, 8, 40, 35, 10, 1, 0, 16, 148, 195, 85, 15, 1, 0, 32, 560, 1078, 665, 175, 21, 1, 0, 64, 2160, 5992, 5033, 1820, 322, 28, 1, 0, 128, 8448, 33632, 37632, 17913, 4284, 546, 36, 1, 0, 256, 33344, 190800, 280760, 171465, 52941, 9030, 870, 45, 1]

cp's OEIS Frontend

A344855 Number T(n,k) of permutations of [n] having k cycles of the form (c1, c2, ..., c_m) where c1 = min_{i>=1} c_i and c_j = min_{i>=j} c_i or c_j = max_{i>=j} c_i; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values