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Expansion of (1-x)^(-1)/(1-3*x-3*x^2-2*x^3).
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%I #9 Jan 20 2024 17:12:17

%S 1,4,16,63,246,960,3745,14608,56980,222255,866922,3381492,13189753,

%T 51447580,200674984,782747199,3053161710,11909076696,46452209617,

%U 181190182360,706745329324,2756710954287,10752749215554,41941871168172,163597283059753,638122961114884

%N Expansion of (1-x)^(-1)/(1-3*x-3*x^2-2*x^3).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,0,-1,-2).

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

%F a(n) = 4*a(n-1) - a(n-3) - 2*a(n-4). - _Wesley Ivan Hurt_, Jan 20 2024

%t CoefficientList[Series[(1 - x)^(-1)/(1 - 3*x - 3*x^2 - 2*x^3), {x, 0, 30}], x] (* _Wesley Ivan Hurt_, Jan 20 2024 *)

%Y Cf. A077829 (first differences).

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Nov 17 2002