I've assumed they are consecutive, but perhaps they are not, which might explain the impasse I've reached. The clue does not use the expression 'Fibonacci sequence', so I suppose 1,2,5,8,21,34 would meet the clue's requirements, but this widens the field so much for a key clue that I'm not sure that I want to continue experimenting.
In response to cockie and puzzled272, I initially thought the numbers were rotated, but this eliminates 3, 4 and 7 from consideration since those won't rotate to give numbers. Because all my options for 5d included at least one 3, I eliminated rotation of numbers from consideration. If the Fibonacci numbers in 5d are not consecutive, perhaps it's possible to get a sequence without 3 or 4.
Apologies if I have spread confusion rather than light,