%N Numbers for which the largest proper divisor is a Fibonacci number.
%e 275 is in the sequence because the largest proper divisor is 55 and 55 is a Fibonacci number.
%t fibs=Fibonacci[Range]; Select[Range[2,500], MemberQ[fibs,Last[Most[Divisors[#]]]]&] [From Harvey P. Dale, Dec. 20, 2010]
%Y Cf. A000040, A000045.
%A Luc Stevens (lms022(AT)yahoo.com), Apr 13 2006
%E Corrected and additional terms provided by Harvey P. Dale, Dec. 20, 2010