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Search: id:A035516
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| A035516 |
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Triangular array formed from Zeckendorf expansion of integers: repeatedly subtract the largest Fibonacci number you can until nothing remains. |
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+0
5
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| 0, 1, 2, 3, 3, 1, 5, 5, 1, 5, 2, 8, 8, 1, 8, 2, 8, 3, 8, 3, 1, 13, 13, 1, 13, 2, 13, 3, 13, 3, 1, 13, 5, 13, 5, 1, 13, 5, 2, 21, 21, 1, 21, 2, 21, 3, 21, 3, 1, 21, 5, 21, 5, 1, 21, 5, 2, 21, 8, 21, 8, 1, 21, 8, 2, 21, 8, 3, 21, 8, 3, 1, 34, 34, 1, 34, 2, 34, 3, 34, 3, 1, 34, 5, 34, 5, 1, 34, 5, 2
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Row n has A007895(n) terms.
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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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T. D. Noe, Rows n=0..1000 of triangle, flattened
N. J. A. Sloane, Classic Sequences
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EXAMPLE
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16 = 13 + 3.
0; 1; 2; 3; 3,1; 5; 5,1; 5,2; 8; 8,1; 8,2; ...
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CROSSREFS
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Cf. A035517, A035514, A035515.
Sequence in context: A077941 A077990 A085667 this_sequence A120428 A079950 A138677
Adjacent sequences: A035513 A035514 A035515 this_sequence A035517 A035518 A035519
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KEYWORD
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nonn,easy,tabf
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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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