A347539 Matula-Goebel number of the n-th tree in Beyer and Hedetniemi's rooted tree iteration (A346913).

1, 2, 3, 4, 5, 7, 6, 8, 11, 17, 13, 10, 19, 14, 9, 12, 16, 31, 59, 41, 29, 22, 67, 43, 34, 23, 37, 26, 15, 20, 53, 38, 21, 28, 18, 24, 32, 127, 277, 179, 109, 79, 62, 331, 191, 139, 118, 83, 157, 101, 82, 47, 71, 58, 33, 44, 241, 163, 134, 73, 107, 86, 51, 68

Offset

1,2

Comments

This sequence is a permutation of the natural numbers, with inverse A347540.

Links

Kevin Ryde, Table of n, a(n) for n = 1..7813 (trees <= 12 vertices)

Index entries for sequences that are permutations of the natural numbers

Example

For n=33, row 33 of A346913 is levels sequence 1,2,3,3,2,3 which is the following tree,
  root      21          a(33) = 21 Matula-Goebel number
            |  \        (being prime(4)*prime(2) = 21)
  children  4    2
            |\   |
            1 1  1

Crossrefs

Cf. A346913, A347540 (inverse), A061773, A127301.

Sequence in context: A361946 A066937 A217266 * A209637 A347540 A120750

Adjacent sequences: A347536 A347537 A347538 * A347540 A347541 A347542

Keyword

nonn

Author

Kevin Ryde, Sep 06 2021

Status

approved