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A163832
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a(n) = n*(2*n^2 + 5*n + 1).
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3
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0, 8, 38, 102, 212, 380, 618, 938, 1352, 1872, 2510, 3278, 4188, 5252, 6482, 7890, 9488, 11288, 13302, 15542, 18020, 20748, 23738, 27002, 30552, 34400, 38558, 43038, 47852, 53012, 58530, 64418, 70688, 77352, 84422, 91910, 99828, 108188, 117002
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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G.f.: -2*x*(1+x)*(x-4)/(x-1)^4.
a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4).
E.g.f.: x*(8 + 11*x + 2*x^2)*exp(x). - G. C. Greubel, Aug 05 2017
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MATHEMATICA
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Table[n(2n^2+5n+1), {n, 0, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {0, 8, 38, 102}, 40] (* Harvey P. Dale, Feb 02 2012 *)
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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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EXTENSIONS
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STATUS
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approved
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