%N Number of independent subsets in the rooted tree with Matula-Goebel number n that contain the root.
%C A184165(n) = a(n) + A228732(n);
%C this sequence and A228732 are defined by a pair of mutually recursive functions, see A184165 for definition (called b and c there).
%H Reinhard Zumkeller, <a href="/A228731/b228731.txt">Table of n, a(n) for n = 1..10000</a>
%H <a href="/index/Mat#matula">Index entries for sequences related to Matula-Goebel numbers</a>
%F Completely multiplicative with a(prime(t)) = A228732(t). - _Andrew Howroyd_, Aug 01 2018
%o (Haskell) see A184165.
%Y Cf. A184165, A228732.
%A _Emeric Deutsch_ and _Reinhard Zumkeller_, Sep 01 2013