Search: id:A102364
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%I A102364
%S A102364 0,0,1,2,1,3,2,2,4,3,3,3,2,5,4,4,4,3,4,3,3,6,5,5,5,4,5,4,4,5,4,4,4,3,7,
%T A102364 6,6,6,5,6,5,5,6,5,5,5,4,6,5,5,5,4,5,4,4,8,7,7,7,6,7,6,6,7,6,6,6,5,7,6,
%U A102364 6,6,5,6,5,5,7,6,6,6
%N A102364 Number of terms in Fibonacci sequence less than n not used in Zeckendorf 
               representation of n (the Zeckendorf representation of n is a sum 
               of non-consecutive distinct Fibonacci numbers).
%C A102364 Number of 0's in Zeckendorf-binary representation of n. For example, 
               the Zeckendorf representation of 12 is 8+3+1, which is 10101 in binary 
               notation.
%D A102364 E. Zeckendorf, 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 A102364 Ron Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               fibGen.html">General Fibonacci Series</a>
%Y A102364 Cf. A007895, A072649.
%Y A102364 Sequence in context: A126792 A097367 A130211 this_sequence A132923 A144329 
               A141157
%Y A102364 Adjacent sequences: A102361 A102362 A102363 this_sequence A102365 A102366 
               A102367
%K A102364 nonn
%O A102364 0,4
%A A102364 Casey Mongoven (cm(AT)caseymongoven.com), Feb 22 2005

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