%I #20 Jun 13 2015 00:51:49

%S 1,2,8,21,68,196,601,1782,5380,16085,48344,144888,434897,1304314,

%T 3913552,11739669,35220604,105659228,316981865,950938830,2852827436,

%U 8558464597,25675422448,77026220976,231078737953,693236092466

%N G.f. 1/((3*x-1)*(x^2-x-1)).

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,4,-3).

%F a(n) = (1/11)*[A000244(n+2) + (-1)^n*A001060(n)].

%F a(0)=1, a(1)=2, a(n) = (1/11)*[3^(n+2) + (-1)^n*{Fib(n+4)-Fib(n-1)}], Fib(n) = A000045(n). -- _Ralf Stephan_, Nov 27 2010

%F a(0)=1, a(1)=2, a(2)=8, a(n)=2*a(n-1)+4*a(n-2)-3*a(n-3). - _Harvey P. Dale_, Jan 24 2015

%p with(gfun): seriestolist(series(1/((3*x-1)*(x^2-x-1)), x=0,32));

%t LinearRecurrence[{2,4,-3},{1,2,8},30] (* _Harvey P. Dale_, Jan 24 2015 *)

%K nonn,easy

%O 0,2

%A _Creighton Dement_, May 23 2005