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Search: id:A134490
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| 2, 21, 233, 2584, 28657, 317811, 3524578, 39088169, 433494437, 4807526976, 53316291173, 591286729879, 6557470319842, 72723460248141, 806515533049393, 8944394323791464, 99194853094755497, 1100087778366101931
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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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, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), 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
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Table[Fibonacci[5n + 3], {n, 0, 30}]
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CROSSREFS
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Cf. A000045, A001906, A001519, A033887, A015448, A014445, A033888, A033889, A033890, A033891, A102312, A099100, A134490, A134491, A134492, A134493, A134494, A134495, A134496, A134497, A134498, A134499, A134500, A134501, A134502, A134503, A134504.
Sequence in context: A024231 A069717 A036679 this_sequence A045726 A105712 A087677
Adjacent sequences: A134487 A134488 A134489 this_sequence A134491 A134492 A134493
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Oct 28 2007
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EXTENSIONS
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Offset changed to 0 by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 28 2008
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