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%I #16 May 08 2023 07:36:45
%S 1,3,8,19,42,89,183,368,728,1422,2750,5276,10057,19069,35998,67707,
%T 126954,237423,443029,825116,1534224,2848736,5283100,9787452,18115705,
%U 33504067,61921452,114373263,211145050,389618073,718660963,1325126972,2442633472,4501351758
%N Expansion of 1/((1-x)(1-x-x^2)(1-x-x^2-x^3)).
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (3,-1,-2,-1,1,1).
%F G.f.: 1/((1-x)*(1-x-x^2)*(1-x-x^2-x^3)).
%F a(n) = 3*a(n-1) - a(n-2) - 2*a(n-3) - a(n-4) + a(n-5) + a(n-6). - _Wesley Ivan Hurt_, May 08 2023
%Y Cf. A000071, A138155.
%K nonn,easy
%O 0,2
%A _Jon Perry_, Jul 04 2004
%E Corrected by _T. D. Noe_, Oct 25 2006