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Search: id:A035514
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| A035514 |
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Zeckendorf expansion of n: repeatedly subtract the largest Fibonacci number you can until nothing remains. |
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+0
7
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| 0, 1, 2, 3, 31, 5, 51, 52, 8, 81, 82, 83, 831, 13, 131, 132, 133, 1331, 135, 1351, 1352, 21, 211, 212, 213, 2131, 215, 2151, 2152, 218, 2181, 2182, 2183, 21831, 34, 341, 342, 343, 3431, 345, 3451, 3452, 348, 3481, 3482, 3483, 34831, 3413, 34131, 34132
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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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.
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LINKS
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N. J. A. Sloane, Classic Sequences
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EXAMPLE
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16 = 13 + 3, so a(16)=13_3 => 133.
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CROSSREFS
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Cf. A035517, A035515, A035516.
Sequence in context: A088115 A048986 A093712 this_sequence A114009 A143665 A074479
Adjacent sequences: A035511 A035512 A035513 this_sequence A035515 A035516 A035517
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Dec 13 1999
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