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

Author

Kevin Ryde, Sep 06 2021

Keywords

• nonn

Comments

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

Examples

			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
		

Links

• Kevin Ryde, Table of n, a(n) for n = 1..7813
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A346913, A347539 (inverse).