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%I #18 Jan 06 2023 05:35:51
%S 125,2744,12167,32768,68921,125000,205379,314432,456533,636056,857375,
%T 1124864,1442897,1815848,2248091,2744000,3307949,3944312,4657463,
%U 5451776,6331625,7301384,8365427
%N a(n) = (9*n+5)^3.
%H Vincenzo Librandi, <a href="/A017223/b017223.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F From _Chai Wah Wu_, Jul 14 2016: (Start)
%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 3.
%F G.f.: (125 + 2244*x + 1941*x^2 + 64*x^3)/(1 - x)^4. (End)
%F E.g.f.: (125 + 2619*x + 3402*x^2 + 729*x^3)*exp(x). - _G. C. Greubel_, Jan 06 2023
%t (9*Range[0,50] + 5)^3 (* _G. C. Greubel_, Jan 06 2023 *)
%o (Magma) [(9*n+5)^3: n in [0..35]] ; // _Vincenzo Librandi_, Jul 24 2011
%o (SageMath) [(9*n+5)^3 for n in range(51)] # _G. C. Greubel_, Jan 06 2023
%Y Sequences of the form (9*n+5)^k: A017221 (k=1), A017222 (k=2), this sequence (k=3), A017224 (k=4), A017225 (k=5), A017226 (k=6), A017227 (k=7), A017228 (k=8), A017229 (k=9), A017230 (k=10), A017231 (k=11).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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