A348850 - cp's OEIS frontend

A348850 a(n) is the number of labeled rooted unordered binary trees T where the nodes are labeled with distinct positive integers, the root has label n, each parent label equals the sum of its children labels, and T cannot be extended.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	5
9	9
10	10
11	14
12	22
13	33
14	57
15	66
16	94
17	132
18	188
19	317
20	454
21	576
22	806
23	1083
24	1535
25	2342
26	3215
27	5231
28	5656
29	8545
30	10804
31	15226
32	21153
33	30342
34	44536
35	63165
36	73877
37	107241
38	133994
39	178497
40	247564
41	331695
42	472331

[1, 1, 1, 1, 2, 2, 3, 5, 9, 10, 14, 22, 33, 57, 66, 94, 132, 188, 317, 454, 576, 806, 1083, 1535, 2342, 3215, 5231, 5656, 8545, 10804, 15226, 21153, 30342, 44536, 63165, 73877, 107241, 133994, 178497, 247564, 331695, 472331]

cp's OEIS Frontend

A348850 a(n) is the number of labeled rooted unordered binary trees T where the nodes are labeled with distinct positive integers, the root has label n, each parent label equals the sum of its children labels, and T cannot be extended.

Table of values

List of values