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A357380 Expansion of Product_{k>=1} (1 - x^Fibonacci(k)).

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%I A357380 #5 Sep 26 2022 20:17:37
%S A357380 1,-2,0,1,1,-1,0,1,-2,1,0,1,-2,0,2,-1,0,0,1,-2,0,1,1,0,-2,1,0,0,0,1,
%T A357380 -2,0,1,1,-1,0,1,-1,-1,0,2,-1,0,0,0,0,0,1,-2,0,1,1,-1,0,1,-2,1,0,1,-2,
%U A357380 1,0,-1,1,1,0,-2,1,0,0,0,0,0,0,0,0,1,-2,0,1,1,-1,0,1,-2,1,0,1,-2,0,2,-1,0,0,1,-2,0,2,-1,0,-1
%N A357380 Expansion of Product_{k>=1} (1 - x^Fibonacci(k)).
%C A357380 Convolution inverse of A007000.
%C A357380 First differences of A093996.
%t A357380 nmax = 100; CoefficientList[Series[Product[(1 - x^Fibonacci[k]), {k, 1, 21}], {x, 0, nmax}], x]
%Y A357380 Cf. A000045, A007000, A093996, A357381.
%K A357380 sign
%O A357380 0,2
%A A357380 _Ilya Gutkovskiy_, Sep 26 2022