login
Expansion of Product_{k>=1} 1 / (1 + x^Lucas(k)).
2

%I #4 Sep 26 2022 20:18:09

%S 1,-1,1,-2,1,-1,2,-2,3,-4,4,-5,5,-5,7,-7,8,-10,9,-10,11,-11,14,-15,16,

%T -18,17,-18,20,-21,24,-26,27,-29,29,-31,35,-36,40,-43,43,-46,48,-51,

%U 56,-59,63,-67,68,-72,77,-80,86,-91,94,-99,103,-108,116,-121,127,-134,137,-143,151

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

%C Convolution inverse of A003263.

%t nmax = 64; CoefficientList[Series[Product[1/(1 + x^LucasL[k]), {k, 1, 20}], {x, 0, nmax}], x]

%Y Cf. A000204, A003263, A357382.

%K sign

%O 0,4

%A _Ilya Gutkovskiy_, Sep 26 2022