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A021454
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Expansion of 1/((1-x)(1-3x)(1-5x)(1-9x)).
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1
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1, 18, 220, 2310, 22561, 212268, 1957600, 17857620, 161924521, 1463379918, 13200803980, 118959425130, 1071396569881, 9646380238968, 86836484875360, 781623699024840, 7035090031526641, 63318194178965418
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OFFSET
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0,2
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LINKS
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FORMULA
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a(0)=1, a(1)=18, a(2)=220, a(3)=2310, a(n)=18*a(n-1)- 104*a(n-2)+ 222*a(n-3)- 135*a(n-4). - Harvey P. Dale, Nov 05 2011
a(n) = (3*9^(n+2) - 2*5^(n+3) + 8*3^(n+2) - 1)/64. - Yahia Kahloune, Jun 26 2013
a(0)=1, a(1)=18; for n>1, a(n) = 14*a(n-1) -45*a(n-2) +(3^n-1)/2. - Vincenzo Librandi, Jul 10 2013
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-3x)(1-5x)(1-9x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{18, -104, 222, -135}, {1, 18, 220, 2310}, 20] (* Harvey P. Dale, Nov 05 2011 *)
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PROG
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(Magma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-3*x)*(1-5*x)*(1-9*x)))); // Vincenzo Librandi, Jul 10 2013
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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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