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A155635 8^n+5^n-1. 16

%I

%S 1,12,88,636,4720,35892,277768,2175276,17167840,136170852,1083507448,

%T 8638762716,68963617360,550976517012,4404150026728,35214889666956,

%U 281627564601280,2252562753138372,18018213206747608,144134261562183996

%N 8^n+5^n-1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (14,-53,40).

%F G.f.: 1/(1-8*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(8*x)+e^(5*x)-e^x.

%F a(n)=13*a(n-1)-40*a(n-2)-28 with a(0)=1, a(1)=12 - _Vincenzo Librandi_, Jul 21 2010

%t Table[8^n+5^n-1,{n,0,40}] (* or *) LinearRecurrence[{14,-53,40},{1,12,88},40] (* _Harvey P. Dale_, Jan 17 2017 *)

%o (PARI) a(n)=8^n+5^n-1^n \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 30 2009

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Last modified March 3 14:58 EST 2021. Contains 341762 sequences. (Running on oeis4.)