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%I #11 Jun 12 2015 15:26:54
%S 1,11,79,575,4351,33791,266239,2113535,16842751,134479871,1074790399,
%T 8594128895,68736253951,549822922751,4398314946559,35185445830655,
%U 281479271677951,2251816993554431,18014467228958719,144115462953762815
%N 8^n+4^n-1^n
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (13,-44,32).
%F G.f.: 1/(1-8*x)+1/(1-4*x)-1/(1-x). E.g.f.: e^(8*x)+e^(4*x)-e^x.
%F a(n)=12*a(n-1)-32*a(n-2)-21 with a(0)=1, a(1)=11 [From _Vincenzo Librandi_, Jul 21 2010]
%F a(0)=1, a(1)=11, a(2)=79, a(n)=13*a(n-1)-44*a(n-2)+32*a(n-3). - _Harvey P. Dale_, Jun 19 2013
%t Table[8^n+4^n-1,{n,0,30}] (* or *) LinearRecurrence[{13,-44,32},{1,11,79},30] (* _Harvey P. Dale_, Jun 19 2013 *)
%Y A155588, A155599, A155607, A155608, A155609, A155610, A155611, A155612, A155613, A155614, A155615, A155616, A155617, A155618
%K nonn
%O 0,2
%A _Mohammad K. Azarian_, Jan 27 2009