A133399 - cp's OEIS frontend

A133399 Triangle T(n,k)=number of forests of labeled rooted trees with n nodes, containing exactly k trees of height one, all others having height zero (n>=0, 0<=k<=floor(n/2)).

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	9
6	1
7	28
8	12
9	1
10	75
11	120
12	1
13	186
14	750
15	120
16	1
17	441
18	3780
19	2100
20	1
21	1016
22	16856
23	21840
24	1680
25	1
26	2295
27	69552
28	176400
29	45360
30	1
31	5110
32	272250
33	1224720
34	705600
35	30240
36	1
37	11253
38	1026300
39	7692300
40	8316000
41	1164240
42	1
43	24564
44	3762132
45	45018600

[1, 1, 1, 2, 1, 9, 1, 28, 12, 1, 75, 120, 1, 186, 750, 120, 1, 441, 3780, 2100, 1, 1016, 16856, 21840, 1680, 1, 2295, 69552, 176400, 45360, 1, 5110, 272250, 1224720, 705600, 30240, 1, 11253, 1026300, 7692300, 8316000, 1164240, 1, 24564, 3762132, 45018600]

cp's OEIS Frontend

A133399 Triangle T(n,k)=number of forests of labeled rooted trees with n nodes, containing exactly k trees of height one, all others having height zero (n>=0, 0<=k<=floor(n/2)).

Table of values

List of values