A199315 - OEIS

%I #13 Sep 08 2022 08:46:00

%S 6,28,138,688,3438,17188,85938,429688,2148438,10742188,53710938,

%T 268554688,1342773438,6713867188,33569335938,167846679688,

%U 839233398438,4196166992188,20980834960938,104904174804688,524520874023438,2622604370117188

%N (11*5^n+1)/2.

%H Vincenzo Librandi, <a href="/A199315/b199315.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)-2.

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

%F G.f.: 2*(3-4*x)/((1-x)*(1-5*x)).

%t (11 5^Range[0,40]+1)/2 (* or *) LinearRecurrence[{6,-5},{6,28},40] (* _Harvey P. Dale_, Aug 30 2016 *)

%o (Magma) [(11*5^n+1)/2: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 05 2011