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A167562
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The fifth row of the ED2 array A167560.
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3
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120, 480, 1344, 3072, 6144, 11160, 18840, 30024, 45672, 66864, 94800, 130800, 176304, 232872, 302184, 386040, 486360, 605184, 744672, 907104, 1094880, 1310520, 1556664, 1836072, 2151624, 2506320, 2903280, 3345744, 3837072
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = 5*n^4 + 10*n^3 + 67*n^2 + 14*n + 24.
G.f.: (24*z^4 - 48*z^3 + 144*z^2 - 120*z + 120)/(1-z)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). - G. C. Greubel, Jun 16 2016
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MATHEMATICA
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Table[5*n^4 + 10*n^3 + 67*n^2 + 14*n + 24, {n, 1, 100}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {120, 480, 1344, 3072, 6144}, 100] (* G. C. Greubel, Jun 16 2016 *)
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CROSSREFS
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Equals the fifth row of the ED2 array A167560.
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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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