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10^n-6^n+1.
16

%I #11 Jun 12 2015 15:26:55

%S 1,5,65,785,8705,92225,953345,9720065,98320385,989922305,9939533825,

%T 99637202945,997823217665,9986939305985,99921635835905,

%U 999529815015425,9997178890092545,99983073340555265,999898440043331585

%N 10^n-6^n+1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (17,-76,60).

%F G.f.: 1/(1-10*x)-1/(1-6*x)+1/(1-x). E.g.f.: e^(10*x)-e^(6*x)+e^x.

%F a(n)=16*a(n-1)-60*a(n-2)+45 with a(0)=1, a(1)=5 - _Vincenzo Librandi_, Jul 21 2010

%o (PARI) a(n)=10^n-6^n+1 \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 31 2009