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A140689
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a(n) = n*(3*n + 20).
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7
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0, 23, 52, 87, 128, 175, 228, 287, 352, 423, 500, 583, 672, 767, 868, 975, 1088, 1207, 1332, 1463, 1600, 1743, 1892, 2047, 2208, 2375, 2548, 2727, 2912, 3103, 3300, 3503, 3712, 3927, 4148, 4375, 4608, 4847, 5092, 5343, 5600, 5863
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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) = 3*n^2 + 20*n.
a(n) = 3*a(n-1)-3*a(n-2)+a(n-3), with a(0)=0, a(1)=23, a(2)=52. - Harvey P. Dale, Apr 29 2016
G.f.: x*(23 - 17*x)/(1 - x)^3.
E.g.f.: x*(3*x + 23)*exp(x). (End)
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MATHEMATICA
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Table[n(3n+20), {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 23, 52}, 50] (* Harvey P. Dale, Apr 29 2016 *)
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PROG
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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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STATUS
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approved
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