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A013714 a(n) = 9^(2*n + 1). 3

%I #23 Sep 08 2022 08:44:38

%S 9,729,59049,4782969,387420489,31381059609,2541865828329,

%T 205891132094649,16677181699666569,1350851717672992089,

%U 109418989131512359209,8862938119652501095929,717897987691852588770249,58149737003040059690390169

%N a(n) = 9^(2*n + 1).

%H Vincenzo Librandi, <a href="/A013714/b013714.txt">Table of n, a(n) for n = 0..150</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 (81).

%F From _Philippe Deléham_, Nov 25 2008: (Start)

%F a(n) = 81*a(n-1); a(0)=9.

%F G.f.: 9/(1-81*x). (End)

%t 9^(2*Range[0,20]+1) (* or *) NestList[81#&,9,20] (* _Harvey P. Dale_, May 25 2020 *)

%o (Magma) [9^(2*n+1): n in [0..20]]; // _Vincenzo Librandi_, May 26 2011

%o (PARI) a(n)=9^(2*n+1) \\ _Charles R Greathouse IV_, Jul 11 2016

%Y Cf. A001019.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 16 01:01 EDT 2024. Contains 371696 sequences. (Running on oeis4.)