%I A133773
%S A133773 1,1,3,5,3,3,7,5,5,5,9,5,5,7,5,5,5,11,9,9,7,5,7,7,9,7,7,7,13,7,7,9,7,7,
%T A133773 7,11,9,9,7,5,7,7,9,7,7,7,15,13,13,11,9,11,11,11,9,9,7,5,9,9,11,9,9,9,
               13,
%U A133773 11,11,9,7,9,9,11,9,9,9,17,9,9,11,9,9,9,13,11,11,9,7,9,9,11,9,9,9,15,13
%N A133773 Number of runs (of equal bits) in the maximal "phinary" (A130601) representation 
               of n.
%D A133773 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 A133773 Casey Mongoven, <a href="b133773.txt">Table of n, a(n) for n = 1..199</
               a>
%H A133773 Ron Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               phigits.html">Using Powers of Phi to represent Integers</a>.
%H A133773 Casey Mongoven, <a href="http://caseymongoven.com/catalogue/b522.htm">
               Music based on this sequence</a>.
%e A133773 A130601(3)=1101 because phi^1+phi^0+phi^-2 = 3; 1101 has 3 runs: 11,0,
               1. So a(3)=3.
%Y A133773 Cf. A133772, A130601.
%Y A133773 Sequence in context: A097524 A073703 A097519 this_sequence A077934 A077950 
               A077973
%Y A133773 Adjacent sequences: A133770 A133771 A133772 this_sequence A133774 A133775 
               A133776
%K A133773 nonn
%O A133773 1,3
%A A133773 Casey Mongoven (cm(AT)caseymongoven.com), Sep 23 2007