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A028157
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Expansion of 1/((1-4x)(1-8x)(1-9x)(1-12x)).
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1
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1, 33, 697, 12033, 185353, 2657361, 36306649, 479622561, 6184444585, 78342273009, 979414153081, 12123907404609, 148962749140297, 1819935176767377, 22139457629549593, 268445978800100577
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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)=33, a(2)=697, a(3)=12033, a(n)=33*a(n-1)-392*a(n-2)+ 1968*a(n-3)- 3456*a(n-4) [From Harvey P. Dale, Mar 01 2012]
a(n)=(5*12^(n+3)-32*9^(n+3)+30*8^(n+3)-3*4^(n+3))/480. [Yahia Kahloune, Jun 11 2013]
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MATHEMATICA
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CoefficientList[Series[1/((1-4x)(1-8x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{33, -392, 1968, -3456}, {1, 33, 697, 12033}, 30] (* Harvey P. Dale, Mar 01 2012 *)
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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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