A294201 - cp's OEIS frontend

A294201 Irregular triangle read by rows: T(n,k) is the number of k-partitions of {1..3n} that are invariant under a permutation consisting of n 3-cycles (1 <= k <= 3n).

n	a(n)
1	1
2	0
3	1
4	1
5	1
6	3
7	2
8	0
9	1
10	1
11	3
12	10
13	12
14	3
15	9
16	3
17	0
18	1
19	1
20	7
21	33
22	59
23	30
24	67
25	42
26	6
27	18
28	4
29	0
30	1
31	1
32	15
33	106
34	270
35	216
36	465
37	420
38	120
39	235
40	100
41	10
42	30
43	5
44	0
45	1
46	1
47	31
48	333
49	1187
50	1365
51	3112
52	3675
53	1596
54	2700
55	1655
56	330
57	605
58	195
59	15
60	45
61	6
62	0
63	1

[1, 0, 1, 1, 1, 3, 2, 0, 1, 1, 3, 10, 12, 3, 9, 3, 0, 1, 1, 7, 33, 59, 30, 67, 42, 6, 18, 4, 0, 1, 1, 15, 106, 270, 216, 465, 420, 120, 235, 100, 10, 30, 5, 0, 1, 1, 31, 333, 1187, 1365, 3112, 3675, 1596, 2700, 1655, 330, 605, 195, 15, 45, 6, 0, 1]

cp's OEIS Frontend

A294201 Irregular triangle read by rows: T(n,k) is the number of k-partitions of {1..3n} that are invariant under a permutation consisting of n 3-cycles (1 <= k <= 3n).

Table of values

List of values