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Problem 225: Tribonacci non-divisors

curriculum/challenges/english/blocks/project-euler-problems-201-to-300/5900f44e1000cf542c50ff60.md

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--description--

The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201 ...

is defined by $T_1 = T_2 = T_3 = 1$ 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 ${124}^{\text{th}}$ odd number that does not divide any terms of the above sequence.

--hints--

tribonacciNonDivisors() should return 2009.

js
assert.strictEqual(tribonacciNonDivisors(), 2009);

--seed--

--seed-contents--

js
function tribonacciNonDivisors() {

  return true;
}

tribonacciNonDivisors();

--solutions--

js
// solution required