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A133774 Number of 1s in the maximal "phinary" (A130601) representation of n.

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%I A133774 #12 Sep 30 2018 04:00:14
%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,
%T A133774 12,12,12,10,11,11,12,13,12,12,11,12,12,12,9,10,10,11,12,11,11,11,12,
%U A133774 12,13,14,12,12,11,12,12,12,10,11,11,12,13,12,12,11,12,12,12,9,15,15,14,15,15
%N A133774 Number of 1s in the maximal "phinary" (A130601) representation of n.
%D A133774 E. Zeckendorf, Représentation des nombres naturels par une somme des nombres de Fibonacci ou de nombres de Lucas, Bull. Soc. Roy. Sci. Liège 41, 179-182, 1972.
%H A133774 Casey Mongoven, <a href="/A133774/b133774.txt">Table of n, a(n) for n = 1..199</a>
%H A133774 Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/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.
%K A133774 nonn
%O A133774 1,2
%A A133774 _Casey Mongoven_, Sep 23 2007