%I A112310
%S A112310 0,1,1,2,2,2,3,2,3,3,3,4,3,3,4,3,4,4,4,5,3,4,4,4,5,4,4,5,4,5,5,5,6,4,4,
%T A112310 5,4,5,5,5,6,4,5,5,5,6,5,5,6,5,6,6,6,7,4,5,5,5,6,5,5,6,5,6,6,6,7,5,5,6,
%U A112310 5,6,6,6,7,5,6,6,6,7,6,6,7,6,7,7,7,8,5,5,6,5,6,6,6,7,5,6,6,6,7,6,6,7,6
%N A112310 Number of terms in lazy Fibonacci representation of n.
%C A112310 Equivalently, the number of ones in the maximal Fibonacci bit-representation 
               (A104326) of n.
%D A112310 J. L. Brown, A New Characterization of the Fibonacci Numbers, Fibonacci 
               Quarterly, 3 (1965), pp. 1-8.
%D A112310 W. Steiner, The joint distribution of greedy and lazy Fibonacci expansions, 
               Fib. Q., 43 (No. 1, 2005), 60-69.
%H A112310 Ron Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               fibrep.html">Using the Fibonacci numbers to represent whole numbers</
               a>.
%e A112310 a(10) = 3 because A104326(10) = 1110 contains three ones.
%Y A112310 Number of terms in row n of A112309. Cf. A117479, A035517, A104326, A007895.
%Y A112310 Record positions are in A001911. (Ray Chandler).
%Y A112310 Sequence in context: A104307 A128330 A133801 this_sequence A137734 A078705 
               A050331
%Y A112310 Adjacent sequences: A112307 A112308 A112309 this_sequence A112311 A112312 
               A112313
%K A112310 nonn,easy
%O A112310 0,4
%A A112310 N. J. A. Sloane (njas(AT)research.att.com), Dec 01 2005
%E A112310 Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 01 2005
%E A112310 Merged with a sequence from Casey Mongoven (cm(AT)caseymongoven.com), 
               Mar 20 2006, by Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), 
               Dec 19 2006