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A089074
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Expansion of x*(1 + x + x^2)/(1 - 2*x + x^5).
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3
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0, 1, 3, 7, 14, 28, 55, 107, 207, 400, 772, 1489, 2871, 5535, 10670, 20568, 39647, 76423, 147311, 283952, 547336, 1055025, 2033627, 3919943, 7555934, 14564532, 28074039, 54114451, 104308959, 201061984, 387559436, 747044833, 1439975215
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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*(1+x+x^2)/(1-2*x+x^5).
a(n) = 2*a(n-1) - a(n-5) for n >= 6. (End)
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MATHEMATICA
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CoefficientList[Series[x*(1+x+x^2)/(1-2*x+x^5), {x, 0, 50}], x] (* G. C. Greubel, Feb 19 2021 *)
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PROG
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(Sage)
P.<x> = PowerSeriesRing(ZZ, prec)
return P( x*(1+x+x^2)/(1-2*x+x^5) ).list()
(Magma)
R<x>:=PowerSeriesRing(Integers(), 50);
Coefficients(R!( x*(1+x+x^2)/(1-2*x+x^5) )); // G. C. Greubel, Feb 19 2021
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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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