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Search: id:A133641
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| A133641 |
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2*L(n) + L(n-1) - n, L(n) = n-th Lucas number of A000032 starting (1,3,4,...). =. |
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+0
1
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| 1, 5, 8, 14, 24, 41, 69, 115, 190, 312, 510, 831, 1351, 2193
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n)/a(n-1) tends to phi.
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FORMULA
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Given n-th Lucas number of A000032 starting (1, 3, 4, 7,...), a(n) = 2*L(n) + L(n-1) - n.
G.f.: -x*(1-5*x^2+x^3+2*x+2*x^4)/(-1+x+x^2)/(-1+x)^2. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
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EXAMPLE
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a(5) = 24 = 2*L(5) + L(4) - n = 2*11 + 7 - 5.
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CROSSREFS
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Cf. A000032.
Sequence in context: A065394 A124011 A101835 this_sequence A112269 A091574 A063731
Adjacent sequences: A133638 A133639 A133640 this_sequence A133642 A133643 A133644
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 19 2007
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