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10^n + 3^n - 1.
12

%I #17 Sep 28 2015 10:51:54

%S 1,12,108,1026,10080,100242,1000728,10002186,100006560,1000019682,

%T 10000059048,100000177146,1000000531440,10000001594322,

%U 100000004782968,1000000014348906,10000000043046720,100000000129140162

%N 10^n + 3^n - 1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (14,-43,30).

%F G.f.: 1/(1-10*x)+1/(1-3*x)-1/(1-x).

%F E.g.f.: e^(10*x)+e^(3*x)-e^x.

%F a(n) = 13*a(n-1)-30*a(n-2)-18 with a(0)=1, a(1)=12. - _Vincenzo Librandi_, Jul 21 2010

%p A155608:=n->10^n + 3^n - 1; seq(A155608(n), n=0..30); # _Wesley Ivan Hurt_, Apr 02 2014

%t Table[10^n + 3^n - 1, {n, 0, 30}] (* _Wesley Ivan Hurt_, Apr 02 2014 *)

%o (PARI) a(n)=10^n+3^n-1 \\ _Charles R Greathouse IV_, Sep 28 2015

%Y Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155602, A155603, A155604, A155605, A155606, A155607.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 25 2009