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

%I A347539 #14 Sep 30 2021 09:48:35
%S A347539 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,
%T A347539 37,26,15,20,53,38,21,28,18,24,32,127,277,179,109,79,62,331,191,139,
%U A347539 118,83,157,101,82,47,71,58,33,44,241,163,134,73,107,86,51,68
%N A347539 Matula-Goebel number of the n-th tree in Beyer and Hedetniemi's rooted tree iteration (A346913).
%C A347539 This sequence is a permutation of the natural numbers, with inverse A347540.
%H A347539 Kevin Ryde, <a href="/A347539/b347539.txt">Table of n, a(n) for n = 1..7813</a> (trees <= 12 vertices)
%H A347539 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e A347539 For n=33, row 33 of A346913 is levels sequence 1,2,3,3,2,3 which is the following tree,
%e A347539   root      21          a(33) = 21 Matula-Goebel number
%e A347539             |  \        (being prime(4)*prime(2) = 21)
%e A347539   children  4    2
%e A347539             |\   |
%e A347539             1 1  1
%Y A347539 Cf. A346913, A347540 (inverse), A061773, A127301.
%K A347539 nonn
%O A347539 1,2
%A A347539 _Kevin Ryde_, Sep 06 2021