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%I #12 Sep 08 2022 08:46:00
%S 9,41,201,1001,5001,25001,125001,625001,3125001,15625001,78125001,
%T 390625001,1953125001,9765625001,48828125001,244140625001,
%U 1220703125001,6103515625001,30517578125001,152587890625001,762939453125001
%N 8*5^n+1.
%H Vincenzo Librandi, <a href="/A199311/b199311.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (6,-5).
%F a(n) = 5*a(n-1)-4.
%F a(n) = 6*a(n-1)-5*a(n-2).
%F G.f.: (9-13*x)/((1-x)*(1-5*x)).
%t 8*5^Range[0,30]+1 (* or *) LinearRecurrence[{6,-5},{9,41},30] (* _Harvey P. Dale_, Feb 20 2015 *)
%o (Magma) [8*5^n+1: n in [0..30]];
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Nov 05 2011
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