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A037141
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Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= -5, with F(-n)=(-1)^(n+1)*F(n);.
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1
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5, 7, 11, 14, 18, 22, 27, 33, 41, 52, 68, 92, 129, 187, 279, 426, 662, 1042, 1655, 2645, 4245, 6832, 11016, 17784, 28733, 46447, 75107, 121478, 196506, 317902, 514323, 832137, 1346369, 2178412, 3524684, 5702996, 9227577, 14930467, 24157935, 39088290
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = F(n-1)+(4+3*n); G.f.: (5-8*x)/((1-x-x^2)*(1-x)^2)
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MATHEMATICA
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CoefficientList[Series[(5-8x)/((1-x-x^2)(1-x)^2), {x, 0, 40}], x] (* or *) LinearRecurrence[{3, -2, -1, 1}, {5, 7, 11, 14}, 40] (* Harvey P. Dale, Nov 06 2017 *)
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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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