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Search: id:A130310
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| A130310 |
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Minimal (or "greedy") Lucas representation of n. A binary system of integers with Lucas numbers (A000032) as a base. |
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+0
4
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| 10, 1, 100, 1000, 1010, 1001, 10000, 10010, 10001, 10100, 100000, 100010, 100001, 100100, 101000, 101010, 101001, 1000000, 1000010, 1000001, 1000100, 1001000, 1001010, 1001001, 1010000, 1010010, 1010001, 1010100, 10000000
(list; graph; listen)
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OFFSET
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1,1
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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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Ron Knott, Using Powers of Phi to represent Integers.
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EXAMPLE
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a(9) = 10001 because 7+2=9, a(10) is 10100 because 7+3=10
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CROSSREFS
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Cf. A014417, A000032, A130311.
Adjacent sequences: A130307 A130308 A130309 this_sequence A130311 A130312 A130313
Sequence in context: A165293 A038303 A075505 this_sequence A051523 A048882 A156286
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KEYWORD
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nonn
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AUTHOR
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Casey Mongoven (cm(AT)caseymongoven.com), May 21 2007
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