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A155628 7^n-4^n+1^n 21

%I

%S 1,4,34,280,2146,15784,113554,807160,5699266,40091464,281426674,

%T 1973132440,13824509986,96821901544,677954637394,4746487768120,

%U 33228635602306,232613334118024,1628344878433714,11398620307466200

%N 7^n-4^n+1^n

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (12,-39,28).

%F G.f.: 1/(1-7*x)-1/(1-4*x)+1/(1-x). E.g.f.: e^(7*x)-e^(4*x)+e^x.

%F a(n)=11*a(n-1)-28*a(n-2)+18 with a(0)=1, a(1)=4 - _Vincenzo Librandi_, Jul 21 2010

%t Table[7^n-4^n+1,{n,0,20}] (* or *) LinearRecurrence[{12,-39,28},{1,4,34},20] (* _Harvey P. Dale_, Jul 16 2017 *)

%o (PARI) a(n)=7^n-4^n+1 \\ _Charles R Greathouse IV_, Sep 24 2015

%Y Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626, A155627.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 30 2009

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Last modified April 16 17:01 EDT 2021. Contains 343050 sequences. (Running on oeis4.)