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A114182
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F(4n) - 2n - 1 where F(n) = Fibonacci numbers. Also, the floor of the log base phi of sequence A090162 (phi = (1+Sqrt(5))/2).
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0
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0, 16, 137, 978, 6754, 46355, 317796, 2178292, 14930333, 102334134, 701408710, 4807526951, 32951280072, 225851433688, 1548008755889, 10610209857690, 72723460248106, 498454011879227, 3416454622906668, 23416728348467644
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OFFSET
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1,2
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LINKS
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FORMULA
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G.f. x^2*(16-7*x+x^2) / ( (x^2-7*x+1)*(x-1)^2 ). - R. J. Mathar, Oct 19 2012
a(0)=0, a(1)=16, a(2)=137, a(3)=978, a(n)=9*a(n-1)-16*a(n-2)+ 9*a(n-3)- a(n-4). - Harvey P. Dale, May 28 2015
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MATHEMATICA
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Table[Fibonacci[4n]-2n-1, {n, 20}] (* or *) LinearRecurrence[{9, -16, 9, -1}, {0, 16, 137, 978}, 20] (* Harvey P. Dale, May 28 2015 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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