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A155620 9^n+4^n-1. 1

%I #12 Jun 13 2015 00:52:47

%S 1,12,96,792,6816,60072,535536,4799352,43112256,387682632,3487832976,

%T 31385253912,282446313696,2541932937192,22877060890416,

%U 205892205836472,1853024483819136,16677198879535752,150094704016475856

%N 9^n+4^n-1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (14,-49,36).

%F G.f.: 1/(1-9*x)+1/(1-4*x)-1/(1-x). E.g.f.: e^(9*x)+e^(4*x)-e^x.

%F a(n)=13*a(n-1)-36*a(n-2)-24 with a(0)=1, a(1)=12 [From _Vincenzo Librandi_, Jul 21 2010]

%F a(0)=1, a(1)=12, a(2)=96, a(n)=14*a(n-1)-49*a(n-2)+36*a(n-3). - _Harvey P. Dale_, Feb 02 2015

%t LinearRecurrence[{14,-49,36},{1,12,96},30] (* _Harvey P. Dale_, Feb 02 2015 *)

%Y A155588, A155599, A155607 - A155619.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 27 2009

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Last modified April 24 19:39 EDT 2024. Contains 371963 sequences. (Running on oeis4.)