id	title	challengeType	forumTopicId	dashedName
5900f44e1000cf542c50ff60	Problem 225: Tribonacci non-divisors	5	301868	problem-225-tribonacci-non-divisors

--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.

assert.strictEqual(tribonacciNonDivisors(), 2009);

function tribonacciNonDivisors() {

  return true;
}

tribonacciNonDivisors();

// solution required