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A155598 7^n-2^n+1. 26

%I

%S 1,6,46,336,2386,16776,117586,823416,5764546,40353096,282474226,

%T 1977324696,13841283106,96889002216,678223056466,4747561477176,

%U 33232930504066,232630513856136,1628413597648306,11398895184848856

%N 7^n-2^n+1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (10,-23,14).

%F G.f.: 1/(1-7*x)-1/(1-2*x)+1/(1-x). E.g.f.: e^(7*x)-e^(2*x)+e^x.

%F a(n)=9*a(n-1)-14*a(n-2)+6 with a(0)=1, a(1)=6 - _Vincenzo Librandi_, Jul 21 2010

%F a(0)=1, a(1)=6, a(2)=46, a(n)=10*a(n-1)-23*a(n-2)+14*a(n-3). - _Harvey P. Dale_, Feb 28 2013

%t Table[7^n-2^n+1,{n,0,20}] (* or *) LinearRecurrence[{10,-23,14},{1,6,46},20] (* _Harvey P. Dale_, Feb 28 2013 *)

%o (PARI) a(n)=7^n-2^n+1 \\ _Charles R Greathouse IV_, Sep 24 2015

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

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 25 2009

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Last modified April 13 06:02 EDT 2021. Contains 342935 sequences. (Running on oeis4.)