A199314 - OEIS

%I #12 Sep 08 2022 08:46:00

%S 3,14,69,344,1719,8594,42969,214844,1074219,5371094,26855469,

%T 134277344,671386719,3356933594,16784667969,83923339844,419616699219,

%U 2098083496094,10490417480469,52452087402344,262260437011719,1311302185058594

%N (11*5^n+1)/4.

%H Vincenzo Librandi, <a href="/A199314/b199314.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)-1.

%F a(n) = 6*a(n-1)-5*a(n-2).

%F G.f.: (3-4*x)/((1-x)*(1-5*x)).

%t LinearRecurrence[{6,-5},{3,14},30] (* or *) NestList[5#-1&,3,30] (* _Harvey P. Dale_, Jul 18 2015 *)

%o (Magma) [(11*5^n+1)/4: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 05 2011