cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A183542 First of two complementary trees generated by the Wythoff sequences.

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%I A183542 #9 Mar 30 2012 18:57:12
%S A183542 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 A183542 43,71,44,73,74,121,20,34,55,58,36,60,61,100,38,63,64,105,65,107,108,
%U A183542 176,41,68,69,113,70,115,116,189,72,118,119,194,120,196,197,320
%N A183542 First of two complementary trees generated by the Wythoff sequences.
%C A183542 Begin with the main tree A074049 generated by the Wythoff sequences:
%C A183542 ...................1
%C A183542 ...................2
%C A183542 ...........3.................5
%C A183542 .......4.......7........8........13
%C A183542 .....6..10...11..18....12..20...21..34
%C A183542 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 A183542 See the formulas at A074049 and A183544.
%e A183542 First three levels:
%e A183542 ...................1
%e A183542 .............2............3
%e A183542 ..........4.....8......9.....16
%Y A183542 Cf. A074049, A183543, A183544,
%Y A183542 A183079 (definition of tree generated by a sequence).
%K A183542 nonn,tabf
%O A183542 1,2
%A A183542 _Clark Kimberling_, Jan 05 2011