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A049675
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a(n) = (2*F(3*n) - F(n))/3, where F=A000045 (the Fibonacci sequence).
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1
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0, 1, 5, 22, 95, 405, 1720, 7293, 30905, 130934, 554675, 2349689, 9953520, 42163913, 178609405, 756601910, 3205017655, 13576673517, 57511713320, 243623529381, 1032005835025, 4371646876246, 18518593350955
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: -x*(x-1)*(1+x) / ( (x^2+4*x-1)*(x^2+x-1) ). - R. J. Mathar, Nov 10 2013
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MATHEMATICA
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Table[(2Fibonacci[3n]-Fibonacci[n])/3, {n, 0, 30}] (* Harvey P. Dale, Dec 08 2012 *)
LinearRecurrence[{5, -2, -5, -1}, {0, 1, 5, 22}, 30] (* G. C. Greubel, Dec 02 2017 *)
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PROG
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(PARI) for(n=0, 30, print1((2*fibonacci(3*n) - fibonacci(n))/3, ", ")) \\ G. C. Greubel, Dec 02 2017
(Magma) [(2*Fibonacci(3*n) - Fibonacci(n))/3: n in [0..30]]; // G. C. Greubel, Dec 02 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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