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%I #11 Jun 26 2022 02:34:06
%S 1,3,10,32,101,319,1006,3172,10001,31531,99410,313416,988125,3115319,
%T 9821846,30965900,97627977,307797347,970410426,3059468848,9645763669,
%U 30410754735,95877738174,302279267892,953013259777,3004619799579,9472837914274,29865561746840
%N Expansion of (1-x)^(-1)/(1-2*x-3*x^2-2*x^3).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (3,1,-1,-2).
%F From _Wesley Ivan Hurt_, Jun 26 2022: (Start)
%F G.f.: (1-x)^(-1)/(1-2*x-3*x^2-2*x^3).
%F a(n) = 3*a(n-1) + a(n-2) - a(n-3) - 2*a(n-4). (End)
%o (PARI) Vec((1-x)^(-1)/(1-2*x-3*x^2-2*x^3)+O(x^99)) \\ _Charles R Greathouse IV_, Sep 27 2012
%Y Partial sums of S(n, x), for x=1...10, A021823, A000217, A027941, A061278, A089817, A053142, A092521, A076765, A092420, A097784.
%Y Partial sums of A077833.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Nov 17 2002
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