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6^n+5^n-1.
17

%I #14 Jun 12 2015 15:26:54

%S 1,10,60,340,1920,10900,62280,358060,2070240,12030820,70231800,

%T 411625180,2420922960,14281397140,84467679720,500702562700,

%U 2973697798080,17689598897860,105374653934040,628433226338620

%N 6^n+5^n-1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (12,-41,30).

%F G.f.: 1/(1-6*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(6*x)+e^(5*x)-e^x.

%F a(n)=11*a(n-1)-30*a(n-2)-20 with a(0)=1, a(1)=10 - _Vincenzo Librandi_, Jul 21 2010

%o (PARI) a(n)=6^n+5^n-1^n \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 30 2009