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A020579
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Expansion of 1/((1-6x)(1-8x)(1-9x)).
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1
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1, 23, 355, 4595, 53851, 592403, 6240235, 63710915, 635468251, 6225852083, 60146237515, 574587484835, 5439634923451, 51116555484563, 477406092913195, 4435981769620355, 41041272503703451, 378327871809737843
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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)=23, a(2)=355; for n>2, a(n) = 23*a(n-1) -174*a(n-2) +432*a(n-3). - Vincenzo Librandi, Jul 04 2013
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MATHEMATICA
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CoefficientList[Series[1 / ((1 - 6 x) (1 - 8 x) (1 - 9 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 04 2013 *)
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PROG
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(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-6*x)*(1-8*x)*(1-9*x)))); /* or */ I:=[1, 23, 355]; [n le 3 select I[n] else 23*Self(n-1)-174*Self(n-2)+432*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 04 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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