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Search: id:A054770
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| A054770 |
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Numbers that are not the sum of distinct Lucas numbers 1,3,4,7,11 ... (A000204). |
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+0
6
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| 2, 6, 9, 13, 17, 20, 24, 27, 31, 35, 38, 42, 46, 49, 53, 56, 60, 64, 67, 71, 74, 78, 82, 85, 89, 93, 96, 100, 103, 107, 111, 114, 118, 122, 125, 129, 132, 136, 140, 143, 147, 150, 154, 158, 161, 165, 169, 172, 176, 179, 183, 187, 190, 194, 197, 201, 205, 208, 212
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Alternatively, Lucas representation of n includes L_0 = 2. - W. F. Lunnon (fred(AT)cs.may.ie), Aug 25, 2001
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FORMULA
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a_n = [((5+sqrt(5))/2)n]-1 (conjectured by David W. Wilson; proved by Ian Agol (iagol(AT)math.ucdavis.edu), Jun 08, 2000)
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MAPLE
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A054770 := n -> floor(n*(sqrt(5)+5)/2)-1;
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PROGRAM
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(PARI) a(n)=floor(n*(sqrt(5)+5)/2)-1
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CROSSREFS
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Cf. A003263, A003622, A022342. Complement of A063732.
Adjacent sequences: A054767 A054768 A054769 this_sequence A054771 A054772 A054773
Sequence in context: A086562 A003145 A047276 this_sequence A113689 A020960 A076522
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KEYWORD
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nonn,easy
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AUTHOR
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Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), May 28 2000
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 28 2000
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