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%I #19 Sep 08 2022 08:45:57
%S 0,3,39,387,3471,29643,246519,2019027,16386591,132264603,1063976199,
%T 8541106467,68475336111,548535110763,4391942995479,35153854510707,
%U 281322388820031,2251036874232123,18010583812216359,144096114589527747,1152826137175206351
%N 8^n - 5^n.
%H Vincenzo Librandi, <a href="/A191468/b191468.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 (13,-40).
%F a(n) = 13*a(n-1) - 40*a(n-2).
%F G.f.: 3*x/((1-5*x)*(1-8*x)). - _Vincenzo Librandi_, Oct 05 2014
%F a(n+1) = 3*A016162(n). - _Vincenzo Librandi_, Oct 05 2014
%t Table[8^n-5^n,{n,0,20}] (* or *) LinearRecurrence[{13,-40},{0,3},30] (* _Harvey P. Dale_, Dec 04 2012 *)
%t CoefficientList[Series[3 x/((1 - 5 x) (1 - 8 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 05 2014 *)
%o (Magma) [8^n - 5^n: n in [0..20]];
%o (PARI) a(n)=8^n-5^n \\ _Charles R Greathouse IV_, Jun 08 2011
%Y Cf. A016162, A016177.
%K nonn,easy
%O 0,2
%A _Vincenzo Librandi_, Jun 03 2011