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A038165
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G.f.: 1/((1-x)*(1-x^2))^5.
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5
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1, 5, 20, 60, 160, 376, 820, 1660, 3190, 5830, 10252, 17380, 28600, 45760, 71500, 109252, 163735, 240955, 348920, 497640, 700128, 972400, 1334840, 1812200, 2435420, 3241628, 4276520, 5594360, 7261040, 9354080, 11966504, 15206840
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OFFSET
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0,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (5, -5, -15, 35, 1, -65, 45, 45, -65, 1, 35, -15, -5, 5, -1).
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FORMULA
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a(2*k) = binomial(k + 7, 7)*(4*k^2 + 23*k + 18)/18 = A059601(k); a(2*k + 1) = binomial(k + 7, 7)*(4*k^2 + 41*k + 90)/18 = A059602(k), k >= 0.
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-x^2))^5, {x, 0, 35}], x] (* Harvey P. Dale, Apr 02 2011 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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