%I A130310
%S A130310 10,1,100,1000,1010,1001,10000,10010,10001,10100,100000,100010,100001,
%T A130310 100100,101000,101010,101001,1000000,1000010,1000001,1000100,1001000,
%U A130310 1001010,1001001,1010000,1010010,1010001,1010100,10000000
%N A130310 Minimal (or "greedy") Lucas representation of n. A binary system of integers 
               with Lucas numbers (A000032) as a base.
%D A130310 Zeckendorf, E., Representation des nombres naturels par une somme des 
               nombres de Fibonacci ou de nombres de Lucas, Bull. Soc. Roy. Sci. 
               Liege 41, 179-182, 1972.
%H A130310 Ron Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               phigits.html">Using Powers of Phi to represent Integers</a>.
%e A130310 a(9) = 10001 because 7+2=9, a(10) is 10100 because 7+3=10
%Y A130310 Cf. A014417, A000032, A130311.
%Y A130310 Sequence in context: A165293 A038303 A075505 this_sequence A051523 A048882 
               A156286
%Y A130310 Adjacent sequences: A130307 A130308 A130309 this_sequence A130311 A130312 
               A130313
%K A130310 nonn
%O A130310 1,1
%A A130310 Casey Mongoven (cm(AT)caseymongoven.com), May 21 2007