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First of two complementary trees generated by the Wythoff sequences.
3

%I #9 Mar 30 2012 18:57:12

%S 1,2,5,4,8,9,16,7,13,14,24,15,26,27,45,12,21,22,37,23,39,40,66,25,42,

%T 43,71,44,73,74,121,20,34,55,58,36,60,61,100,38,63,64,105,65,107,108,

%U 176,41,68,69,113,70,115,116,189,72,118,119,194,120,196,197,320

%N First of two complementary trees generated by the Wythoff sequences.

%C Begin with the main tree A074049 generated by the Wythoff sequences:

%C ...................1

%C ...................2

%C ...........3.................5

%C .......4.......7........8........13

%C .....6..10...11..18....12..20...21..34

%C Every n >2 is in the subtree from 3 or the subtree from 5. Therefore, on subtracting 2 from all entries in those subtrees, we obtain complementary trees: A183342 and A183543.

%F See the formulas at A074049 and A183544.

%e First three levels:

%e ...................1

%e .............2............3

%e ..........4.....8......9.....16

%Y Cf. A074049, A183543, A183544,

%Y A183079 (definition of tree generated by a sequence).

%K nonn,tabf

%O 1,2

%A _Clark Kimberling_, Jan 05 2011