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5*9^n+1.
1

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

%S 6,46,406,3646,32806,295246,2657206,23914846,215233606,1937102446,

%T 17433922006,156905298046,1412147682406,12709329141646,

%U 114383962274806,1029455660473246,9265100944259206,83385908498332846,750473176484995606

%N 5*9^n+1.

%H Vincenzo Librandi, <a href="/A199563/b199563.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 (10,-9).

%F a(n) = 2*A135423(n).

%F a(n) = 9*a(n-1)-8.

%F a(n) = 10*a(n-1)-9*a(n-2).

%F G.f.: 2*(3-7*x)/((1-x)*(1-9*x)).

%p A199563:=n->5*9^n+1; seq(A199563(k), k=0..50); # _Wesley Ivan Hurt_, Oct 24 2013

%t Table[5*9^n+1, {n,0,50}] (* _Wesley Ivan Hurt_, Oct 24 2013 *)

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

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 08 2011