Tribonacci non-divisors

The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201 ... is defined by T₁ = T₂ = T₃ = 1 and T_n = T_n-1 + T_n-2 + T_n-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 124^th odd number that does not divide any terms of the above sequence.

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