login
a(n) = 3^(5*n + 3).
1

%I #21 Sep 08 2022 08:44:38

%S 27,6561,1594323,387420489,94143178827,22876792454961,

%T 5559060566555523,1350851717672992089,328256967394537077627,

%U 79766443076872509863361,19383245667680019896796723,4710128697246244834921603689

%N a(n) = 3^(5*n + 3).

%H Vincenzo Librandi, <a href="/A013828/b013828.txt">Table of n, a(n) for n = 0..200</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (243).

%F From _Philippe Deléham_, Nov 30 2008: (Start)

%F a(n) = 243*a(n-1), n > 0; a(0)=27.

%F G.f.: 27/(1-243*x).

%F a(n) = 3*A013827(n) = 9*A013826(n) = A013829(n)/3. (End)

%t 3^(5*Range[0,20]+3) (* or *) NestList[243#&,27,20] (* _Harvey P. Dale_, Jun 07 2016 *)

%o (Magma) [3^(5*n+3): n in [0..15]]; // _Vincenzo Librandi_, Jul 07 2011

%Y Cf. A000244 (3^n), A016885 (5*n+3).

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_