I am trying to solve the below problem(Please don't solve it)
The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201 ... is defined by T1 = T2 = T3 = 1 and Tn = Tn-1 + Tn-2 + Tn-3.
It can be shown that 27 does not divide any terms of this sequence. In fact, 27 is the first odd number with this property.
Find the 124th odd number that does not divide any terms of the above sequence.
What does it mean does not divide any terms? Can you explain it to me, please?
"$27$ does not divide any terms" means it does not divide $31$ or $57$ or $105$ or ... and so on for all the numbers in that sequence. (I started that at $31$ because it clearly can't divide anything smaller than itself.)