data/problems/225.yml
---
:id: 225
:name: Tribonacci non-divisors
:url: https://projecteuler.net/problem=225
:content: "The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201 ...
\ \nis defined by T<sub>1</sub> = T<sub>2</sub> = T<sub>3</sub> = 1 and T<sub><var>n</var></sub>
= T<sub><var>n</var>-1</sub> + T<sub><var>n</var>-2</sub> + T<sub><var>n</var>-3</sub>.\n\nIt
can be shown that 27 does not divide any terms of this sequence. \nIn fact, 27
is the first odd number with this property.\n\nFind the 124<sup>th</sup> odd number
that does not divide any terms of the above sequence.\n\n"