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a(n) = 10^(3*n + 1).
2

%I #22 Sep 08 2022 08:44:38

%S 10,10000,10000000,10000000000,10000000000000,10000000000000000,

%T 10000000000000000000,10000000000000000000000,

%U 10000000000000000000000000,10000000000000000000000000000

%N a(n) = 10^(3*n + 1).

%H Vincenzo Librandi, <a href="/A013746/b013746.txt">Table of n, a(n) for n = 0..100</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 (1000).

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

%F a(n) = 1000*a(n-1); a(0)=10.

%F G.f.: 10/(1-1000*x). (End)

%t 10^(3Range[0,10]+1) (* _Harvey P. Dale_, Mar 28 2011 *)

%o (Magma) [10^(3*n+1): n in [0..15]]; // _Vincenzo Librandi_, Jun 26 2011

%o (PARI) a(n)=10^(3*n+1) \\ _Charles R Greathouse IV_, Jul 11 2016

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_