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A206417
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(5*F(n)+3*L(n)-8)/2.
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2
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0, 3, 7, 14, 25, 43, 72, 119, 195, 318, 517, 839, 1360, 2203, 3567, 5774, 9345, 15123, 24472, 39599, 64075, 103678, 167757, 271439, 439200, 710643, 1149847, 1860494, 3010345, 4870843, 7881192, 12752039, 20633235, 33385278, 54018517, 87403799, 141422320
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OFFSET
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1,2
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REFERENCES
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Thomas Koshy, Fibonacci and Lucas Numbers and Applications. Wiley, New York, (2001)
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LINKS
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FORMULA
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a(n) = 2*a(n-1)-a(n-3). G.f.: x^2*(x+3) / ((x-1)*(x^2+x-1)). - Colin Barker, Oct 28 2014
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MATHEMATICA
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Table[(5*Fibonacci[n] + 3*LucasL[n] - 8)/2, {n, 60}] (* or *) Table[LucasL[n+2] - 4, {n, 60}]
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PROG
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(PARI) concat(0, Vec(x^2*(x+3)/((x-1)*(x^2+x-1)) + O(x^100))) \\ Colin Barker, Oct 28 2014
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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