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Tree generated by 3n-2.
0

%I #7 Mar 30 2012 18:57:12

%S 1,2,4,3,10,6,7,5,28,15,16,9,19,11,13,8,82,42,43,23,46,24,25,14,55,29,

%T 31,17,37,20,22,12,244,123,124,63,127,65,67,35,136,69,70,36,73,38,40,

%U 21,163,83,85,44,91,47,49,26,109,56,58,30,64,33,34,18,730

%N Tree generated by 3n-2.

%C A permutation of the positive integers. See A183079 and A183209. Leftmost branch: A034472. Rightmost branch: A061419.

%F Let L(n)=3n-2.

%F Let U(n)=A007494(n); U is the complement of L.

%F The tree-array T(n,k) is then given by rows:

%F T(0,0)=1; T(1,0)=2;

%F T(n,2j)=L(T(n-1),j);

%F T(n,2j+1)=U(T(n-1),j);

%F for j=0,1,...,2^(n-1)-1, n>=2.

%Y Cf. A183079, A034472, A061418, A061419, A016777, A007494.

%K nonn

%O 1,2

%A _Clark Kimberling_, Dec 30 2010