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A107443
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Expansion of g.f.: (1+3*x^2)/((1-x)*(1+x+2*x^2)*(1-x+2*x^2)).
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2
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1, 1, 1, 1, -3, -3, 9, 9, -11, -11, 1, 1, 45, 45, -135, -135, 229, 229, -143, -143, -483, -483, 2025, 2025, -4139, -4139, 4321, 4321, 3597, 3597, -28071, -28071, 69829, 69829, -97199, -97199, 12285, 12285, 351945, 351945, -1104971, -1104971, 1907137, 1907137, -1301523, -1301523, -3723975, -3723975
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OFFSET
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0,5
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LINKS
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FORMULA
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MAPLE
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with(gfun): seriestolist(series((3*x^2+1)/((1-x)*(2*x^2+x+1)*(2*x^2-x+1)), x=0, 50));
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MATHEMATICA
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CoefficientList[Series[(1+3*x^2)/((1-x)*(1+3*x^2+4*x^4)), {x, 0, 50}], x] (* G. C. Greubel, Mar 24 2024 *)
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PROG
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(Magma) R<x>:=PowerSeriesRing(Integers(), 50); Coefficients(R!( (1+3*x^2)/((1-x)*(1+3*x^2+4*x^4)) )); // G. C. Greubel, Mar 24 2024
(SageMath)
P.<x> = PowerSeriesRing(ZZ, prec)
return P( (1+3*x^2)/((1-x)*(1+3*x^2+4*x^4)) ).list()
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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