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Expansion of Product_{k>=0} (1 - x^Lucas(k)).
0

%I #5 Oct 02 2022 10:29:12

%S 1,-1,-1,0,0,2,0,-1,0,0,1,-1,-1,1,0,1,-1,-1,0,1,1,-1,0,0,0,1,-1,-1,0,

%T 0,2,0,0,-1,-1,1,0,0,0,0,1,-1,-1,0,0,2,0,-1,0,0,1,0,-2,0,0,1,1,-1,0,0,

%U 0,0,0,0,0,1,-1,-1,0,0,2,0,-1,0,0,1,-1,-1,1,0,1,-1,-1,1,0,0,-1,0,2,0,0,-1,-1,1

%N Expansion of Product_{k>=0} (1 - x^Lucas(k)).

%C Convolution inverse of A067593.

%t nmax = 100; CoefficientList[Series[Product[(1 - x^LucasL[k]), {k, 0, 20}], {x, 0, nmax}], x]

%Y Cf. A000032, A067593, A093996, A357380, A357382.

%K sign

%O 0,6

%A _Ilya Gutkovskiy_, Oct 02 2022