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A155607 9^n+3^n-1. 13

%I #13 Dec 29 2018 18:08:57

%S 1,11,89,755,6641,59291,532169,4785155,43053281,387440171,3486843449,

%T 31381236755,282430067921,2541867422651,22876797237929,

%U 205891146443555,1853020231898561,16677181828806731,150094635684419609

%N 9^n+3^n-1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (13,-39,27).

%F G.f.: 1/(1-9*x)+1/(1-3*x)-1/(1-x). E.g.f.: e^(9*x)+e^(3*x)-e^x.

%F a(n)=12*a(n-1)-27*a(n-2)-16 with a(0)=1, a(1)=11 - _Vincenzo Librandi_, Jul 21 2010

%t LinearRecurrence[{13,-39,27},{1,11,89},20] (* _Harvey P. Dale_, Dec 29 2018 *)

%o (PARI) a(n)=9^n+3^n-1 \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155602, A155603, A155604, A155605, A155606.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 25 2009

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Last modified April 19 05:19 EDT 2024. Contains 371782 sequences. (Running on oeis4.)