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%I #5 Oct 01 2023 18:15:48
%S 1,1,1,4,10,19,40,91,199,427,928,2026,4405,9568,20809,45265,98425,
%T 214012,465394,1012051,2200744,4785619,10406647,22629907,49210024,
%U 107010082,232699861,506019712,1100369809,2392819489,5203328305
%N Expansion of (1-x)/((1-x)^2-3x^3).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2, -1, 3).
%F G.f. : (1-x)/(1-2x+x^2-3x^3); a(n)=2a(n-1)-a(n-2)+3a(n-3); a(n)=sum{k=0..floor(n/2), binomial(n-k, 2k)3^k }.
%K easy,nonn
%O 0,4
%A _Paul Barry_, Jul 25 2004
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