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A134490
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Fibonacci(5n+3).
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10
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2, 21, 233, 2584, 28657, 317811, 3524578, 39088169, 433494437, 4807526976, 53316291173, 591286729879, 6557470319842, 72723460248141, 806515533049393, 8944394323791464, 99194853094755497, 1100087778366101931
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (11,1)
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FORMULA
| a(n)=11a(n-1)+a(n-2). - Paul Curtz (bpcrtz(AT)free.fr), May 07 2008
a(n)=-(2/5)*[11/2-(5/2)*sqrt(5)]^n*sqrt(5)+[11/2-(5/2)*sqrt(5)]^n+(2/5)*sqrt(5)*[11/2+(5/2) *sqrt(5)]^n+[11/2+(5/2)*sqrt(5)]^n. [From Paolo P. Lava (paoloplava(AT)gmail.com), Oct 03 2008]
G.f.: (2-x)/(1-11x-x^2). a(n)=|A122574(n+2)|+A049666(n+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 02 2008]
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MATHEMATICA
| Table[Fibonacci[5n + 3], {n, 0, 30}]
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PROG
| (MAGMA) [Fibonacci(5*n+3): n in [0..100]]; // Vincenzo Librandi, Apr 16 2011
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CROSSREFS
| Cf. A000045, A102312, A099100, A134491.
Sequence in context: A024231 A069717 A036679 * A045726 A105712 A087677
Adjacent sequences: A134487 A134488 A134489 * A134491 A134492 A134493
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Oct 28 2007
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EXTENSIONS
| Offset changed to 0 by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 28 2008
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