This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A035514 #19 Jul 02 2025 16:01:56 %S A035514 0,1,2,3,31,5,51,52,8,81,82,83,831,13,131,132,133,1331,135,1351,1352, %T A035514 21,211,212,213,2131,215,2151,2152,218,2181,2182,2183,21831,34,341, %U A035514 342,343,3431,345,3451,3452,348,3481,3482,3483,34831,3413,34131,34132 %N A035514 Zeckendorf expansion of n: repeatedly subtract the largest Fibonacci number you can until nothing remains. Big-endian concatenation of decimals. %D A035514 Zeckendorf, E., 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 A035514 Reinhard Zumkeller, <a href="/A035514/b035514.txt">Table of n, a(n) for n = 0..10000</a> %H A035514 N. J. A. Sloane, <a href="/classic.html#WYTH">Classic Sequences</a> %e A035514 16 = 13 + 3, so a(16)=13_3 => 133. %o A035514 (Haskell) %o A035514 a035514 n = a035514_list !! (n-1) %o A035514 a035514_list = map (read . concatMap show) a035516_tabf :: [Integer] %o A035514 -- _Reinhard Zumkeller_, Mar 10 2013 %Y A035514 Cf. A035517, A035515, A035516. %K A035514 nonn,easy,base %O A035514 0,3 %A A035514 _N. J. A. Sloane_ %E A035514 More terms from _James Sellers_, Dec 13 1999