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Search: id:A130311
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| A130311 |
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Maximal (or "lazy") Lucas representation of n. Binary system for representing integers using Lucas numbers (A000032) as a base. |
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+0
5
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| 10, 1, 11, 110, 1010, 111, 1011, 1110, 1101, 1111, 10110, 11010, 10111, 11011, 11110, 101010, 11111, 101011, 101110, 101101, 101111, 110110, 111010, 110111, 111011, 111110, 111101, 111111, 1010110
(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 Fibonacci Numbers to Represent Whole Numbers.
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EXAMPLE
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a(7) = 1110 because 4+3+1 = 8, a(8) = 1101 because 4+3+2 = 9
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CROSSREFS
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Cf. A000032, A104326, A130310.
Adjacent sequences: A130308 A130309 A130310 this_sequence A130312 A130313 A130314
Sequence in context: A107408 A129888 A107353 this_sequence A063672 A070606 A073731
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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; corrected Mar 23 2008
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