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A153173
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a(n) = L(5n)/L(n) where L(n) = Lucas number A000204(n).
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4
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11, 41, 341, 2161, 15251, 103361, 711491, 4868641, 33391061, 228811001, 1568437211, 10749853441, 73681573691, 505018447961, 3461454668501, 23725145626561, 162614613425891, 1114577020834241, 7639424866266611
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| All numbers in this sequence are congruent to 1 mod 10.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (5,15,-15,-5,1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 22 2010]
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FORMULA
| a(n)= +5*a(n-1) +15*a(n-2) -15*a(n-3) -5*a(n-4) +a(n-5). G.f.: -x*(11-14*x-29*x^2+6*x^3+x^4) / ( (x-1)*(x^2-7*x+1)*(x^2+3*x+1) ). a(n) = 1+A056854(n) -(-1)^n*A005248(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 22 2010]
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MATHEMATICA
| Table[LucasL[5 n]/LucasL[n], {n, 1, 150}]
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CROSSREFS
| A000032, A000204, A110391
Sequence in context: A092445 A068840 A082424 * A050526 A104118 A159561
Adjacent sequences: A153170 A153171 A153172 * A153174 A153175 A153176
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Dec 20 2008
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