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A028083
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Expansion of 1/((1-3x)(1-6x)(1-9x)(1-10x)).
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0
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1, 28, 505, 7480, 99181, 1226548, 14470705, 165111760, 1838112661, 20084217868, 216290873305, 2302672401640, 24288950066941, 254275654917988, 2645388660962305, 27378515971285120, 282112466144578021
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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)=28, a(2)=505, a(3)=7480, a(n)=28*a(n-1)-279*a(n-2)+ 1152*a(n-3)- 1620*a(n-4) From Harvey P. Dale, Jul 04 2012
a(n)=(9*10^(n+3)-14*9^(n+3)+7*6^(n+3)-2*3^(n+3))/252. [Yahia Kahloune, Jun 02 2013]
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MATHEMATICA
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CoefficientList[Series[1/((1-3x)(1-6x)(1-9x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{28, -279, 1152, -1620}, {1, 28, 505, 7480}, 30] (* Harvey P. Dale, Jul 04 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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