%I #6 Nov 01 2019 18:36:07
%S 3,5,6,9,10,15,16,17,21,25,26,27,28,32,34,35,37,41,42,43,44,45,46,50,
%T 52,53,56,57,60,61,63,67,68,69,70,71,72,73,74,75,79,81,82,85,86,91,92,
%U 93,98,99,102,103,105,109,110,111,112,113,114,115,116,117,118,119,120
%N Numbers k such that the coefficient of x^k in the expansion of Product_{j>=2} (1 - x^Fibonacci(j)) is zero.
%C Numbers k such that number of partitions of k into an even number of distinct Fibonacci parts equals number of partitions of k into an odd number of distinct Fibonacci parts (1 counted as single Fibonacci number).
%C Positions of 0's in A093996.
%C Complement of A151661.
%t Flatten[Position[Rest[CoefficientList[Series[Product[(1 - x^Fibonacci[j]), {j, 2, 21}], {x, 0, 130}], x]], 0]]
%Y Cf. A000045, A000119, A003107, A090864, A093996, A151661.
%K nonn
%O 1,1
%A _Ilya Gutkovskiy_, Nov 01 2019