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A153796
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6 times octagonal numbers: a(n) = 6*n*(3*n-2).
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4
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0, 6, 48, 126, 240, 390, 576, 798, 1056, 1350, 1680, 2046, 2448, 2886, 3360, 3870, 4416, 4998, 5616, 6270, 6960, 7686, 8448, 9246, 10080, 10950, 11856, 12798, 13776, 14790, 15840, 16926, 18048, 19206, 20400, 21630, 22896, 24198, 25536, 26910, 28320, 29766
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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*a(n-1) - 3*a(n-2) + a(n-3) for n>2.
G.f.: 6*x*(1 + 5*x)/(1 - x)^3.
E.g.f.: 6*x*(1 + 3*x)*exp(x). (End)
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MAPLE
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MATHEMATICA
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Table[6*n*(3*n-2), {n, 0, 25}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 6, 48}, 25] (* G. C. Greubel, Aug 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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