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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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4
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10, 1, 11, 110, 101, 111, 1011, 1110, 1101, 1111, 10110, 10101, 10111, 11011, 11110, 11101, 11111, 101011, 101110, 101101, 101111, 110110, 110101, 110111, 111011, 111110, 111101, 111111, 1010110
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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.
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LINKS
| Ron Knott, Using Fibonacci Numbers to Represent Whole Numbers.
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EXAMPLE
| a(7) = 1110 because 4+3+1 = 8, a(8) = 1101 because 4+3+2 = 9
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CROSSREFS
| Cf. A000032, A104326, A130310.
Sequence in context: A172171 A164899 A164844 * A063672 A070606 A073731
Adjacent sequences: A130308 A130309 A130310 * A130312 A130313 A130314
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KEYWORD
| nonn
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AUTHOR
| Casey Mongoven (cm(AT)caseymongoven.com), May 21 2007; corrected Mar 23 2008
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