%I #22 Sep 08 2022 08:45:57
%S 0,4,56,604,5936,55924,515816,4704844,42656096,385467364,3477018776,
%T 31332231484,282185395856,2540645125204,22870688939336,
%U 205860614516524,1852867600961216,16676418760213444,150090820599733496,1350832644186663964
%N 9^n - 5^n.
%H Vincenzo Librandi, <a href="/A191466/b191466.txt">Table of n, a(n) for n = 0..300</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-45).
%F a(n) = 14*a(n-1) - 45*a(n-2).
%F G.f.: 4*x/((1-5*x)*(1-9*x)). - _Vincenzo Librandi_, Oct 05 2014
%F a(n+1) = 4*A016163(n). - _Vincenzo Librandi_, Oct 05 2014
%t Table[9^n - 5^n, {n, 0, 25}] (* or *) CoefficientList[Series[4 x/((1 - 5 x) (1 - 9 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 05 2014 *)
%t LinearRecurrence[{14,-45},{0,4},20] (* _Harvey P. Dale_, Jun 26 2019 *)
%o (Magma) [9^n-5^n: n in [0..20]];
%o (PARI) a(n)=9^n-5^n \\ _Charles R Greathouse IV_, Jun 08 2011
%Y Cf. A118004, A016185, A059410
%K nonn,easy
%O 0,2
%A _Vincenzo Librandi_, Jun 03 2011
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