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%I #4 Sep 26 2022 20:18:17
%S 1,1,1,2,2,2,3,4,5,7,10,14,19,26,36,48,64,87,116,155,210,283,382,518,
%T 701,948,1282,1732,2339,3158,4263,5756,7772,10495,14176,19148,25865,
%U 34941,47198,63753,86114,116311,157095,212181,286580,387070,522805,706142,953777,1288260,1740044
%N Expansion of 1 / (1 + Sum_{k>=1}(-x)^Lucas(k)).
%t nmax = 50; CoefficientList[Series[1/(1 + Sum[(-x)^LucasL[k], {k, 1, 20}]), {x, 0, nmax}], x]
%Y Cf. A000204, A080889, A288039.
%K nonn
%O 0,4
%A _Ilya Gutkovskiy_, Sep 26 2022