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 A155599 8^n-2^n+1^n 33

%I

%S 1,7,61,505,4081,32737,262081,2097025,16776961,134217217,1073740801,

%T 8589932545,68719472641,549755805697,4398046494721,35184372056065,

%U 281474976645121,2251799813554177,18014398509219841,144115188075331585

%N 8^n-2^n+1^n

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (11,-26,16).

%F G.f.: 1/(1-8*x)-1/(1-2*x)+1/(1-x). E.g.f.: e^(8*x)-e^(2*x)+e^x.

%F a(n)=10*a(n-1)-16*a(n-2)+7 with a(0)=1, a(1)=7 - _Vincenzo Librandi_, Jul 21 2010

%t Table[8^n-2^n+1,{n,0,30}] (* or *) LinearRecurrence[{11,-26,16},{1,7,61},30] (* _Harvey P. Dale_, Feb 25 2014 *)

%o (PARI) a(n)=8^n-2^n+1 \\ _Charles R Greathouse IV_, Sep 24 2015

%Y Cf. A074501, A020515, A155588, A155590, A155592, A155593, A155594, A155596, A155597, A155598.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 25 2009

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Last modified April 14 16:31 EDT 2021. Contains 342949 sequences. (Running on oeis4.)