A358727 - OEIS

A358727

Matula-Goebel numbers of rooted trees with greater number of leaves (width) than node-height.

8, 16, 24, 28, 32, 36, 38, 42, 48, 49, 53, 54, 56, 57, 63, 64, 72, 76, 80, 81, 84, 96, 98, 104, 106, 108, 112, 114, 120, 126, 128, 131, 133, 136, 140, 144, 147, 148, 152, 156, 159, 160, 162, 168, 171, 172, 178, 180, 182, 184, 189, 190, 192, 196, 200, 204, 208

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OFFSET

1,1

COMMENTS

The Matula-Goebel number of a rooted tree is the product of primes indexed by the Matula-Goebel numbers of the branches of its root, which gives a bijective correspondence between positive integers and unlabeled rooted trees.

Node-height is the number of nodes in the longest path from root to leaf.

LINKS

Table of n, a(n) for n=1..57.

Gus Wiseman, The first 64 rooted trees with greater width than height.

EXAMPLE

The terms together with their corresponding rooted trees begin:

8: (ooo)

16: (oooo)

24: (ooo(o))

28: (oo(oo))

32: (ooooo)

36: (oo(o)(o))