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6, 27, 73, 155, 285, 476, 742, 1098, 1560, 2145, 2871, 3757, 4823, 6090, 7580, 9316, 11322, 13623, 16245, 19215, 22561, 26312, 30498, 35150, 40300, 45981, 52227, 59073, 66555, 74710, 83576, 93192, 103598, 114835, 126945, 139971, 153957
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OFFSET
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8,1
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COMMENTS
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Inverse binomial transform gives 6, 21, 25, 11, 1, 0, 0, ... (0 continued). - R. J. Mathar, May 17 2008
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LINKS
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FORMULA
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a(n) = SUM[j=8..n]SUM[k=8..n]{((k*(k+1)/2)-30}. a(n) = SUM[j=8..n](1/6)*(j-7)*(j^2+10*j-108).
a(n) = (n-6)(n-7)(n^2+19n-144)/24. O.g.f: x^8(6-3x-2x^2)/(1-x)^5. - R. J. Mathar, May 17 2008
a(8)=6, a(9)=27, a(10)=73, a(11)=155, a(12)=285, a(n)=5*a(n-1)- 10*a(n-2)+ 10*a(n-3)-5*a(n-4)+a (n-5). - Harvey P. Dale, Oct 20 2013
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MATHEMATICA
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Accumulate[LinearRecurrence[{4, -6, 4, -1}, {6, 21, 46, 82}, 50]] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {6, 27, 73, 155, 285}, 50] (* Harvey P. Dale, Oct 20 2013 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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