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A167562
The fifth row of the ED2 array A167560.
3
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
OFFSET
1,1
FORMULA
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
MATHEMATICA
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 *)
CROSSREFS
Equals the fifth row of the ED2 array A167560.
Sequence in context: A337469 A235232 A304284 * A033697 A157960 A067915
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
STATUS
approved