%I #21 Sep 08 2022 08:44:42
%S 729,6859,24389,59319,117649,205379,328509,493039,704969,970299,
%T 1295029,1685159,2146689,2685619,3307949,4019679,4826809,5735339,
%U 6751269,7880599,9129329,10503459,12008989
%N a(n) = (10*n + 9)^3.
%H Vincenzo Librandi, <a href="/A017379/b017379.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 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=729, a(1)=6859, a(2)=24389, a(3)=59319. - _Harvey P. Dale_, Nov 01 2011
%t (10Range[0,30]+9)^3 (* or *) LinearRecurrence[{4,-6,4,-1},{729,6859,24389,59319},30] (* _Harvey P. Dale_, Nov 01 2011 *)
%o (Magma) [(10*n+9)^3: n in [0..40]]; // _Vincenzo Librandi_, Aug 31 2011
%o (PARI) vector(40, n, n--; (10*n + 9)^3) \\ _G. C. Greubel_, Nov 10 2018
%Y Cf. A017377 (10n+9), A000578 (n^3).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_