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%I #14 Sep 08 2022 08:46:00
%S 5,45,485,5325,58565,644205,7086245,77948685,857435525,9431790765,
%T 103749698405,1141246682445,12553713506885,138090848575725,
%U 1518999334332965,16708992677662605,183798919454288645,2021788113997175085
%N 4*11^n+1.
%H Vincenzo Librandi, <a href="/A199753/b199753.txt">Table of n, a(n) for n = 0..900</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-11).
%F a(n) = 5*A083077
%F a(n) = 11*a(n-1)-10.
%F a(n) = 12*a(n-1)-11*a(n-2).
%F G.f.: 5*(1-3*x)/((1-x)*(1-11*x)).
%t 4*11^Range[0,20]+1 (* or *) LinearRecurrence[{12,-11},{5,45},20] (* _Harvey P. Dale_, Mar 28 2012 *)
%o (Magma)[4*11^n+1: n in [0..30]];
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Nov 10 2011