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a(n) = 8*10^n+1.
2

%I #16 Sep 08 2022 08:46:00

%S 9,81,801,8001,80001,800001,8000001,80000001,800000001,8000000001,

%T 80000000001,800000000001,8000000000001,80000000000001,

%U 800000000000001,8000000000000001,80000000000000001,800000000000000001,8000000000000000001

%N a(n) = 8*10^n+1.

%H Vincenzo Librandi, <a href="/A199689/b199689.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-10).

%F a(n) = 9*A059482(n).

%F a(n) = 10*a(n-1)-9.

%F a(n) = 11*a(n-1)-10*a(n-2).

%F G.f.: 9*(1-2*x)/((1-x)*(1-10*x)).

%t 8*10^Range[0,20]+1 (* or *) LinearRecurrence[{11,-10},{9,81},20] (* _Harvey P. Dale_, Jun 11 2022 *)

%o (Magma) [8*10^n+1: n in [0..30]];

%Y Cf. A059482.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 09 2011