login
11^n+2^n-1.
5

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

%S 1,12,124,1338,14656,161082,1771624,19487298,214359136,2357948202,

%T 25937425624,285311672658,3138428380816,34522712152122,

%U 379749833599624,4177248169448418,45949729863637696,505447028499424842

%N 11^n+2^n-1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (14,-35,22).

%F G.f.: 1/(1-11*x)+1/(1-2*x)-1/(1-x). E.g.f.: e^(11*x)+e^(2*x)-e^x.

%F a(n)=13*a(n-1)-22*a(n-2)-10 with a(0)=1, a(1)=12 - _Vincenzo Librandi_, Jul 21 2010

%o (PARI) a(n)=11^n+2^n-1 \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A074501, A074600, A005057, A005056, A099393, A155588, A155590, A155592, A155593, A155594.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 24 2009