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A049686
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a(n) = Fibonacci(8n)/3.
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3
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0, 7, 329, 15456, 726103, 34111385, 1602508992, 75283811239, 3536736619241, 166151337293088, 7805576116155895, 366695926122033977, 17226902951619441024, 809297742799991694151, 38019767008647990184073, 1786119751663655546957280, 83909608561183162716808087, 3941965482623944992143022809
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 47*a(n-1) - a(n-2), n>1. a(0)=0, a(1)=7.
G.f.: 7*x/(1-47*x+x^2).
E.g.f.: 2*exp(47*x/2)*sinh(21*sqrt(5)*x/2)/(3*sqrt(5)). - Stefano Spezia, Dec 14 2019
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EXAMPLE
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a(2) = F(8 * 2) / 3 = F(16) / 3 = 987 / 3 = 329. - Indranil Ghosh, Feb 05 2017
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MAPLE
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with(combinat); seq( fibonacci(8*n)/3, n=0..20); # G. C. Greubel, Dec 14 2019
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MATHEMATICA
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LinearRecurrence[{47, -1}, {0, 7}, 20] (* Harvey P. Dale, Dec 27 2019 *)
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PROG
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(Magma) [Fibonacci(8*n)/3: n in [0..20]]; // G. C. Greubel, Dec 14 2019
(Sage) [fibonacci(8*n)/3 for n in (0..20)] # G. C. Greubel, Dec 14 2019
(GAP) List([0..20], n-> Fibonacci(8*n)/3 ); # G. C. Greubel, Dec 14 2019
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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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