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A167478
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Expansion of (1-2x+6x^2-x^3)/(1-3x+x^2)^2.
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2
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1, 4, 19, 75, 264, 869, 2741, 8396, 25175, 74271, 216336, 623689, 1782889, 5060500, 14277019, 40070259, 111954456, 311555501, 863978525, 2388417116, 6584117471, 18104432199, 49667825184, 135974484625, 371543306449, 1013443026724
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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G.f.: (1-2*x+6*x^2-x^3)/(1-3*x+x^2)^2.
a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3) - a(n-4). - Wesley Ivan Hurt, Jul 28 2022
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MATHEMATICA
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LinearRecurrence[{6, -11, 6, -1}, {1, 4, 19, 75}, 100] (* G. C. Greubel, Jun 13 2016 *)
CoefficientList[Series[(1-2x+6x^2-x^3)/(1-3x+x^2)^2, {x, 0, 30}], x] (* Harvey P. Dale, Aug 04 2018 *)
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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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STATUS
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approved
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