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A022274
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a(n) = n*(17*n - 1)/2.
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3
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0, 8, 33, 75, 134, 210, 303, 413, 540, 684, 845, 1023, 1218, 1430, 1659, 1905, 2168, 2448, 2745, 3059, 3390, 3738, 4103, 4485, 4884, 5300, 5733, 6183, 6650, 7134, 7635, 8153, 8688, 9240, 9809, 10395, 10998, 11618, 12255, 12909, 13580, 14268, 14973
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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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G.f.: x*(8 + 9*x)/(1 - x)^3.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>2. (End)
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MATHEMATICA
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CoefficientList[Series[x (8 + 9 x) / (1 - x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Mar 31 2015 *)
LinearRecurrence[{3, -3, 1}, {0, 8, 3 3}, 50] (* Harvey P. Dale, Feb 18 2016 *)
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PROG
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CROSSREFS
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Cf. similar sequences listed in A022288.
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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