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a(n) = 11*3^n.
2

%I #38 Aug 16 2024 20:39:54

%S 11,33,99,297,891,2673,8019,24057,72171,216513,649539,1948617,5845851,

%T 17537553,52612659,157837977,473513931,1420541793,4261625379,

%U 12784876137,38354628411,115063885233,345191655699,1035574967097,3106724901291,9320174703873

%N a(n) = 11*3^n.

%C Square root of A120353.

%H Vincenzo Librandi, <a href="/A120354/b120354.txt">Table of n, a(n) for n = 0..300</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 (3).

%F From _Philippe Deléham_, Nov 23 2008: (Start)

%F a(n) = 3*a(n-1), n > 0; a(0)=11.

%F G.f.: 11/(1-3*x). (End)

%F a(n) = 11*A000244(n). - _Michel Marcus_, Sep 04 2013

%F E.g.f.: 11*exp(3*x). - _Elmo R. Oliveira_, Aug 16 2024

%t 11*3^Range[0, 60] (* _Vladimir Joseph Stephan Orlovsky_, Jun 09 2011 *)

%t NestList[3#&,11,30] (* _Harvey P. Dale_, Mar 04 2013 *)

%o (Magma) [11*3^n: n in [0..30]]; // _Vincenzo Librandi_, Jun 10 2011

%o (PARI) a(n)=11*3^n \\ _Charles R Greathouse IV_, Sep 04 2013

%Y Cf. A000244, A120353.

%K nonn,easy

%O 0,1

%A _Anton Joha_, Jun 25 2006

%E Better definition from _Tanya Khovanova_, Jan 20 2007