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(9*5^n+1)/2.
1

%I #10 Sep 08 2022 08:46:00

%S 5,23,113,563,2813,14063,70313,351563,1757813,8789063,43945313,

%T 219726563,1098632813,5493164063,27465820313,137329101563,

%U 686645507813,3433227539063,17166137695313,85830688476563,429153442382813,2145767211914063

%N (9*5^n+1)/2.

%H Vincenzo Librandi, <a href="/A199312/b199312.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.: (5-7*x)/((1-x)*(1-5*x)).

%o (Magma) [(9*5^n+1)/2: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 05 2011