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A061222
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a(n) = n^2 + (n + 1)^3 + (n + 2)^4.
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1
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17, 90, 287, 698, 1437, 2642, 4475, 7122, 10793, 15722, 22167, 30410, 40757, 53538, 69107, 87842, 110145, 136442, 167183, 202842, 243917, 290930, 344427, 404978, 473177, 549642, 635015, 729962, 835173, 951362, 1079267, 1219650, 1373297
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: (2*x^4-7*x^3+7*x^2+5*x+17)/(1-x)^5. - Zak Seidov, Oct 02 2010
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EXAMPLE
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a(1) = 1 + 2^3 + 3^4 = 1 + 8 + 81 = 90.
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MATHEMATICA
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CoefficientList[Normal[Series[(2*x^4-7*x^3+7*x^2+5*x+17)/(1-x)^5, {x, 0, 20}]], x] (* Zak Seidov, Oct 02 2010 *)
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PROG
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(Magma) [n^2 + (n + 1)^3 + (n + 2)^4: n in [0..40]]; // Vincenzo Librandi, Aug 05 2011
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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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