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A035515 Zeckendorf expansion of n: repeatedly subtract the largest Fibonacci number you can until nothing remains. 5
0, 1, 2, 3, 13, 5, 15, 25, 8, 18, 28, 38, 138, 13, 113, 213, 313, 1313, 513, 1513, 2513, 21, 121, 221, 321, 1321, 521, 1521, 2521, 821, 1821, 2821, 3821, 13821, 34, 134, 234, 334, 1334, 534, 1534, 2534, 834, 1834, 2834, 3834, 13834, 1334, 11334, 21334 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

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.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

N. J. A. Sloane, Classic Sequences

EXAMPLE

16 = 13 + 3, so a(16)=3_13 => 313.

PROG

(Haskell)

a035515 n = a035515_list !! (n-1)

a035515_list = map (read . concatMap show) a035517_tabf :: [Integer]

-- Reinhard Zumkeller, Mar 10 2013

CROSSREFS

Cf. A035517, A035514, A035516.

Sequence in context: A085402 A085400 A067523 * A076988 A128369 A087568

Adjacent sequences:  A035512 A035513 A035514 * A035516 A035517 A035518

KEYWORD

nonn,easy,base

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from James A. Sellers, Dec 13 1999

STATUS

approved

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Last modified December 12 06:05 EST 2017. Contains 295937 sequences.