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A021274
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Expansion of 1/((1-x)(1-2x)(1-8x)(1-11x)).
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1
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1, 22, 337, 4482, 55533, 660774, 7667929, 87542794, 988535845, 11078416206, 123498755601, 1371575734386, 15192048468637, 167950256294518, 1854154604388553, 20449314929530458, 225371378475017109
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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(n) = (7*11^(n+3) - 15*8^(n+3) + 35*2^(n+3) - 27)/1890. - Yahia Kahloune, Jul 08 2013
a(0)=1, a(1)=22, a(2)=337, a(3)=4482; for n>3, a(n) = 22*a(n-1) -147*a(n-2) +302*a(n-3)-176*a(n-4). - Vincenzo Librandi, Jul 08 2013
a(0)=1, a(1)=22; for n>1, a(n) = 19*a(n-1) -88*a(n-2) +2^n -1. - Vincenzo Librandi, Jul 08 2013
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MATHEMATICA
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CoefficientList[Series[1 / ((1 - x) (1 - 2 x) (1 - 8 x) (1 - 11 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 08 2013 *)
LinearRecurrence[{22, -147, 302, -176}, {1, 22, 337, 4482}, 20] (* Harvey P. Dale, Jun 09 2017 *)
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PROG
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(Magma) I:=[1, 22, 337, 4482]; [n le 4 select I[n] else 22*Self(n-1)-147*Self(n-2)+302*Self(n-3)-176*Self(n-4): n in [1..25]]; /* or */ m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-2*x)*(1-8*x)*(1-11*x)))); // Vincenzo Librandi, Jul 08 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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