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A026060
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a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).
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4
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45, 80, 126, 184, 255, 340, 440, 556, 689, 840, 1010, 1200, 1411, 1644, 1900, 2180, 2485, 2816, 3174, 3560, 3975, 4420, 4896, 5404, 5945, 6520, 7130, 7776, 8459, 9180, 9940, 10740, 11581, 12464, 13390, 14360, 15375, 16436, 17544, 18700, 19905, 21160, 22466, 23824, 25235, 26700, 28220
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OFFSET
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5,1
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LINKS
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FORMULA
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a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(5)=45, a(6)=80, a(7)=126, a(8)=184. - Harvey P. Dale, Nov 05 2011
G.f.: x^5*(45 - 100*x + 76*x^2 - 20*x^3)/(1-x)^4. - Colin Barker, Sep 17 2012
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MATHEMATICA
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Table[n (n^2+15n-46)/6, {n, 5, 60}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {45, 80, 126, 184}, 60] (* Harvey P. Dale, Nov 05 2011 *)
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PROG
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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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