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A190048
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Expansion of (8+6*x)/(1-x)^5
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4
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8, 46, 150, 370, 770, 1428, 2436, 3900, 5940, 8690, 12298, 16926, 22750, 29960, 38760, 49368, 62016, 76950, 94430, 114730, 138138, 164956, 195500, 230100, 269100, 312858, 361746, 416150, 476470, 543120, 616528, 697136, 785400, 881790, 986790, 1100898
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OFFSET
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0,1
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COMMENTS
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Equals the fifth right hand column of A175136.
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LINKS
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FORMULA
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G.f.: (8+6*x)/(1-x)^5.
a(n) = 8*binomial(n+4,4) + 6*binomial(n+3,4).
a(n) = (7*n^4 +58*n^3 +173*n^2 +218*n +96)/12.
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MAPLE
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A190048 := proc(n) option remember; a(n):=(7*n^4+58*n^3+173*n^2+218*n+96)/12 end: seq(A190048(n), n=0..35);
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MATHEMATICA
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LinearRecurrence[{5, -10, 10, -5, 1}, {8, 46, 150, 370, 770}, 30] (* or *) CoefficientList[Series[(8+6*x)/(1-x)^5, {x, 0, 50}], x] (* G. C. Greubel, Jan 10 2018 *)
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PROG
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(Magma) [(7*n^4+58*n^3+173*n^2+218*n+96)/12: n in [0..50]]; // Vincenzo Librandi, May 07 2011
(PARI) x='x+O('x^30); Vec((8+6*x)/(1-x)^5) \\ G. C. Greubel, Jan 10 2018
(PARI) for(n=0, 50, print1((7*n^4 +58*n^3 +173*n^2 +218*n +96)/12, ", ")) \\ G. C. Greubel, Jan 10 2018
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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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STATUS
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approved
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