A382096 - cp's OEIS frontend

A382096 Number of rooted ordered trees with node weights summing to n, where the root has weight 0, non-root node weights are in {1,2,3}, and no nodes have the same weight as their parent node.

n	a(n)
0	1
1	1
2	2
3	6
4	15
5	39
6	110
7	308
8	869
9	2499
10	7238
11	21086
12	61871
13	182523
14	540830
15	1609238
16	4805871
17	14398559
18	43264896
19	130347450
20	393650751
21	1191441349
22	3613345360
23	10978726634
24	33414836743
25	101863289331
26	310984519412
27	950734751040
28	2910319385881
29	8919643999157
30	27368321239074

[1, 1, 2, 6, 15, 39, 110, 308, 869, 2499, 7238, 21086, 61871, 182523, 540830, 1609238, 4805871, 14398559, 43264896, 130347450, 393650751, 1191441349, 3613345360, 10978726634, 33414836743, 101863289331, 310984519412, 950734751040, 2910319385881, 8919643999157, 27368321239074]

cp's OEIS Frontend

A382096 Number of rooted ordered trees with node weights summing to n, where the root has weight 0, non-root node weights are in {1,2,3}, and no nodes have the same weight as their parent node.

Table of values

List of values