%I #18 Sep 08 2022 08:44:48
%S 1,2,-23,-216,-943,-2882,-7047,-14620,-26207,-39366,-40951,16096,
%T 282609,1223030,4245145,13589532,41998145,127720306,385530921,
%U 1159785368,3483584401
%N a(n) = 3^n - n^5.
%H Vincenzo Librandi, <a href="/A024028/b024028.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (9,-33,65,-75,51,-19,3).
%F a(n) = 3^n - n^5.
%F From _Chai Wah Wu_, Jul 10 2016: (Start)
%F a(n) = 9*a(n-1) - 33*a(n-2) + 65*a(n-3) - 75*a(n-4) + 51*a(n-5) - 19*a(n-6) + 3*a(n-7) for n > 6.
%F G.f.: (-4*x^6 - 71*x^5 - 187*x^4 + 8*x^3 + 8*x^2 + 7*x - 1)/((x - 1)^6*(3*x - 1)). (End)
%t Table[3^n-n^5,{n,0,30}] (* or *) LinearRecurrence[{9,-33,65,-75,51,-19,3},{1,2,-23,-216,-943,-2882,-7047},30] (* _Harvey P. Dale_, Dec 16 2021 *)
%o (Magma) [3^n-n^5 : n in [0..30]]; // _Vincenzo Librandi_, May 17 2011
%Y Cf. A000244 (3^n), A000584 (n^5).
%K sign
%O 0,2
%A _N. J. A. Sloane_