45 lines
862 B
Markdown
45 lines
862 B
Markdown
---
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id: 5900f44e1000cf542c50ff60
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title: 'Problem 225: Tribonacci non-divisors'
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challengeType: 5
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forumTopicId: 301868
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dashedName: problem-225-tribonacci-non-divisors
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---
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# --description--
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The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201 ...
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is defined by $T_1 = T_2 = T_3 = 1$ and $T_n = T_{n - 1} + T_{n - 2} + T_{n - 3}$.
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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.
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Find the ${124}^{\text{th}}$ odd number that does not divide any terms of the above sequence.
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# --hints--
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`tribonacciNonDivisors()` should return `2009`.
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```js
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assert.strictEqual(tribonacciNonDivisors(), 2009);
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```
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# --seed--
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## --seed-contents--
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```js
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function tribonacciNonDivisors() {
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return true;
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}
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tribonacciNonDivisors();
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```
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# --solutions--
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```js
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// solution required
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```
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