A347540 Position within Beyer and Hedetniemi's rooted tree iteration (A346913) of the tree with Matula-Goebel number n.

1, 2, 3, 4, 5, 7, 6, 8, 15, 12, 9, 16, 11, 14, 29, 17, 10, 35, 13, 30, 33, 22, 26, 36, 71, 28, 82, 34, 21, 73, 18, 37, 55, 25, 72, 83, 27, 32, 69, 74, 20, 80, 24, 56, 183, 66, 52, 84, 79, 180, 63, 70, 31, 197, 144, 81, 77, 54, 19, 184, 65, 43, 194, 85, 176, 146

Offset

1,2

Comments

This sequence is a permutation of the natural numbers, with inverse A347539.

Links

Kevin Ryde, Table of n, a(n) for n = 1..7813

Index entries for sequences that are permutations of the natural numbers

Example

For n=21, the tree with Matula-Goebel number 21 is as follows, shown with siblings ordered per Beyer and Hedetniemi's canonical form,
  root      1           pre-order levels = 1,2,3,3,2,3
            |  \        which is row 33 of A346913
  level=2   2    2      so a(21) = 33
            |\   |
  level=3   3 3  3

Crossrefs

Cf. A346913, A347539 (inverse).

Sequence in context: A217266 A347539 A209637 * A120750 A265672 A178528

Adjacent sequences: A347537 A347538 A347539 * A347541 A347542 A347543

Keyword

nonn

Author

Kevin Ryde, Sep 06 2021

Status

approved