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10^n+4^n-1^n
0

%I #11 Oct 24 2016 14:41:03

%S 1,13,115,1063,10255,101023,1004095,10016383,100065535,1000262143,

%T 10001048575,100004194303,1000016777215,10000067108863,

%U 100000268435455,1000001073741823,10000004294967295,100000017179869183

%N 10^n+4^n-1^n

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (15,-54,40).

%F G.f.: 1/(1-10*x)+1/(1-4*x)-1/(1-x). E.g.f.: e^(10*x)+e^(4*x)-e^x.

%F a(n)=14*a(n-1)-40*a(n-2)-27 with a(0)=1, a(1)=13 [From _Vincenzo Librandi_, Jul 21 2010]

%t LinearRecurrence[{15,-54,40},{1,13,115},20] (* _Harvey P. Dale_, Oct 24 2016 *)

%Y A155588, A155599, A155607, A155608, A155609, A155610, A155611, A155612, A155613, A155614, A155615, A155616, A155617, A155618, A155619, A155620

%K nonn

%O 0,2

%A _Mohammad K. Azarian_, Jan 27 2009