Search: id:A133774
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%I A133774
%S A133774 1,3,3,3,6,6,5,6,6,6,5,9,9,8,9,9,9,7,8,8,9,10,9,9,8,9,9,9,7,12,12,11,12,
%T A133774 12,12,10,11,11,12,13,12,12,11,12,12,12,9,10,10,11,12,11,11,11,12,12,13,
%U A133774 14,12,12,11,12,12,12,10,11,11,12,13,12,12,11,12,12,12,9,15,15,14,15,15
%N A133774 Number of 1s in the maximal "phinary" (A130601) representation of n.
%D A133774 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 A133774 Casey Mongoven, <a href="b133774.txt">Table of n, a(n) for n = 1..199</
               a>
%H A133774 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 A133774 A130601(4)=10101, which contains three 1s. Hence a(4)=3.
%Y A133774 Cf. A055778, A130601.
%Y A133774 Sequence in context: A134059 A112669 A098529 this_sequence A108581 A073080 
               A057944
%Y A133774 Adjacent sequences: A133771 A133772 A133773 this_sequence A133775 A133776 
               A133777
%K A133774 nonn
%O A133774 1,2
%A A133774 Casey Mongoven (cm(AT)caseymongoven.com), Sep 23 2007

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