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A153179
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a(n) = L(11n)/L(n) where L(n) = Lucas number A000204(n).
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3
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199, 13201, 1970299, 224056801, 28374454999, 3450736132801, 426236170575799, 52337681992411201, 6441140796368008699, 792018481913198430001, 97420733208491869044199, 11981539981561372141075201
(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 99 mod 100 (iff n is odd)
congruent to 1 mod 100 (iff n is even),
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FORMULA
| a(n)= +89*a(n-1) +4895*a(n-2) -83215*a(n-3) -582505*a(n-4) +1514513*a(n-5) +1514513*a(n-6) -582505*a(n-7) -83215*a(n-8) +4895*a(n-9) +89*a(n-10) -a(n-11). G.f.: -1 -1/(1+x) +(-2-47*x)/(x^2+47*x+1) +(2-3*x)/(x^2-3*x+1) +(-2-7*x)/(x^2+7*x+1) +(2-123*x)/(x^2-123*x+1) +(2-18*x)/(x^2-18*x+1). a(n) = -(-1)^n -(-1)^n*A087265(n) +A005248(n) -(-1)^n*A056854(n) +A065705(n) +A087215(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 22 2010]
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MATHEMATICA
| Table[LucasL[11 n]/LucasL[n], {n, 1, 150}]
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CROSSREFS
| A000032, A000204, A110391, A153173, A153175, A153177.
Sequence in context: A163712 A069244 A052355 * A097732 A181007 A155508
Adjacent sequences: A153176 A153177 A153178 * A153180 A153181 A153182
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Dec 20 2008
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