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 A155597 6^n - 2^n + 1. 27

%I

%S 1,5,33,209,1281,7745,46593,279809,1679361,10077185,60465153,

%T 362795009,2176778241,13060685825,78364147713,470184951809,

%U 2821109841921,16926659313665,101559956406273,609359739486209,3656158439014401

%N 6^n - 2^n + 1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (9,-20,12).

%F G.f.: 1/(1-6*x)-1/(1-2*x)+1/(1-x). E.g.f.: e^(6*x)-e^(2*x)+e^x.

%F a(n)=8*a(n-1)-12*a(n-2)+5 with a(0)=1, a(1)=5 [From _Vincenzo Librandi_, Jul 21 2010]

%F a(0)=1, a(1)=5, a(2)=33, a(n)=9*a(n-1)-20*a(n-2)+12*a(n-3) [From Harvey P. Dale, Jul 13 2011]

%t Table[6^n-2^n+1,{n,0,20}] (* or *) LinearRecurrence[{9,-20,12},{1,5,33},20] (* _Harvey P. Dale_, Jul 13 2011 *)

%o (PARI) a(n) = 6^n-2^n+1 \\ _Charles R Greathouse IV_, Jul 25 2011

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

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 25 2009

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Last modified April 13 17:30 EDT 2021. Contains 342936 sequences. (Running on oeis4.)