%I A035516
%S A035516 0,1,2,3,3,1,5,5,1,5,2,8,8,1,8,2,8,3,8,3,1,13,13,1,13,2,13,3,13,3,1,13,
%T A035516 5,13,5,1,13,5,2,21,21,1,21,2,21,3,21,3,1,21,5,21,5,1,21,5,2,21,8,21,8,
%U A035516 1,21,8,2,21,8,3,21,8,3,1,34,34,1,34,2,34,3,34,3,1,34,5,34,5,1,34,5,2
%N A035516 Triangular array formed from Zeckendorf expansion of integers: repeatedly 
               subtract the largest Fibonacci number you can until nothing remains.
%C A035516 Row n has A007895(n) terms.
%D A035516 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 A035516 T. D. Noe, <a href="b035516.txt">Rows n=0..1000 of triangle, flattened</
               a>
%H A035516 N. J. A. Sloane, <a href="classic.html#WYTH">Classic Sequences</a>
%e A035516 16 = 13 + 3.
%e A035516 0; 1; 2; 3; 3,1; 5; 5,1; 5,2; 8; 8,1; 8,2; ...
%Y A035516 Cf. A035517, A035514, A035515.
%Y A035516 Sequence in context: A077941 A077990 A085667 this_sequence A120428 A079950 
               A138677
%Y A035516 Adjacent sequences: A035513 A035514 A035515 this_sequence A035517 A035518 
               A035519
%K A035516 nonn,easy,tabf
%O A035516 0,3
%A A035516 N. J. A. Sloane (njas(AT)research.att.com).
%E A035516 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Dec 13 1999