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a(n) = 10*3^n.
4

%I #30 Aug 14 2024 19:39:17

%S 10,30,90,270,810,2430,7290,21870,65610,196830,590490,1771470,5314410,

%T 15943230,47829690,143489070,430467210,1291401630,3874204890,

%U 11622614670,34867844010,104603532030,313810596090,941431788270,2824295364810,8472886094430

%N a(n) = 10*3^n.

%H Vincenzo Librandi, <a href="/A005052/b005052.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 _Elmo R. Oliveira_, Aug 14 2024: (Start)

%F G.f.: 10/(1-3*x).

%F E.g.f.: 10*exp(3*x).

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

%t 10*3^Range[0, 60] (* _Vladimir Joseph Stephan Orlovsky_, Jun 09 2011 *)

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

%o (PARI) a(n)=10*3^n \\ _Charles R Greathouse IV_, Oct 07 2015

%Y Except for initial terms, same as A062107.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_