A384685 - cp's OEIS frontend

A384685 Triangle read by rows: T(n,k) is the number of rooted ordered trees with node weights summing to n, where the root has weight 0, all internal nodes have weight 1, and leaf nodes have weights in {1,...,k}.

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	3
6	0
7	5
8	8
9	9
10	0
11	14
12	25
13	28
14	29
15	0
16	42
17	83
18	95
19	98
20	99
21	0
22	132
23	289
24	337
25	349
26	352
27	353
28	0
29	429
30	1041
31	1236
32	1285
33	1297
34	1300
35	1301
36	0
37	1430
38	3847
39	4652
40	4854
41	4903
42	4915
43	4918
44	4919
45	0
46	4862
47	14504
48	17865
49	18709
50	18912
51	18961
52	18973
53	18976
54	18977

[1, 0, 1, 0, 2, 3, 0, 5, 8, 9, 0, 14, 25, 28, 29, 0, 42, 83, 95, 98, 99, 0, 132, 289, 337, 349, 352, 353, 0, 429, 1041, 1236, 1285, 1297, 1300, 1301, 0, 1430, 3847, 4652, 4854, 4903, 4915, 4918, 4919, 0, 4862, 14504, 17865, 18709, 18912, 18961, 18973, 18976, 18977]

cp's OEIS Frontend

A384685 Triangle read by rows: T(n,k) is the number of rooted ordered trees with node weights summing to n, where the root has weight 0, all internal nodes have weight 1, and leaf nodes have weights in {1,...,k}.

Table of values

List of values