A214914 a(0)=a(1)=1, a(n) = least k > a(n-1) such that k*a(n-2) is a Fibonacci number.
1, 1, 2, 3, 4, 7, 36, 141, 1288, 15449, 3732552, 686789427, 13845944773136, 366529850034440743, 431339599553022278260254864, 386581932414897024763372282159480269, 184905369551724915055273665254253822188651964997391392
Offset: 0