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%I #16 Oct 07 2015 10:42:26
%S 1,3,17,99,545,2883,14897,75939,384065,1933443,9706577,48650979,
%T 243609185,1219108803,6098732657,30503229219,152544843905,
%U 762810312963,3814309845137,19072324066659,95363944856225,476826697849923
%N 5^n - 3^n + 1.
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (9,-23,15).
%F G.f.: 1/(1-5*x)-1/(1-3*x)+1/(1-x).
%F E.g.f.: e^(5*x)-e^(3*x)+e^x.
%F a(n) = 8*a(n-1)-15*a(n-2)+8 with a(0)=1, a(1)=3. - _Vincenzo Librandi_, Jul 21 2010
%F a(0)=1, a(1)=3, a(2)=17, a(n)=9*a(n-1)-23*a(n-2)+15*a(n-3). - _Harvey P. Dale_, Jan 06 2012
%t Table[5^n-3^n+1,{n,0,30}] (* or *) LinearRecurrence[{9,-23,15},{1,3,17},31] (* _Harvey P. Dale_, Jan 06 2012 *)
%o (PARI) a(n)=5^n-3^n+1 \\ _Charles R Greathouse IV_, Oct 07 2015
%Y Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155602, A155603, A155604, A155605, A155606, A155607, A155608, A155609.
%K nonn,easy
%O 0,2
%A _Mohammad K. Azarian_, Jan 26 2009
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