|
Search: id:A130310
|
|
|
| A130310 |
|
Minimal (or "greedy") Lucas representation of n. A binary system of integers with Lucas numbers (A000032) as a base. |
|
+0
4
|
|
| 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)
|
|
|
OFFSET
|
1,1
|
|
|
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
|
Ron Knott, Using Powers of Phi to represent Integers.
|
|
EXAMPLE
|
a(9) = 10001 because 7+2=9, a(10) is 10100 because 7+3=10
|
|
CROSSREFS
|
Cf. A014417, A000032, A130311.
Sequence in context: A030526 A038303 A075505 this_sequence A051523 A048882 A049223
Adjacent sequences: A130307 A130308 A130309 this_sequence A130311 A130312 A130313
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Casey Mongoven (cm(AT)caseymongoven.com), May 21 2007
|
|
|
Search completed in 0.002 seconds
|
