45 lines
		
	
	
		
			770 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			45 lines
		
	
	
		
			770 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
---
 | 
						|
id: 5900f44e1000cf542c50ff60
 | 
						|
title: 'Problem 225: Tribonacci non-divisors'
 | 
						|
challengeType: 5
 | 
						|
forumTopicId: 301868
 | 
						|
dashedName: 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 T1 = T2 = T3 = 1 and Tn = Tn-1 + Tn-2 + Tn-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 124th odd number that does not divide any terms of the above sequence.
 | 
						|
 | 
						|
# --hints--
 | 
						|
 | 
						|
`euler225()` should return 2009.
 | 
						|
 | 
						|
```js
 | 
						|
assert.strictEqual(euler225(), 2009);
 | 
						|
```
 | 
						|
 | 
						|
# --seed--
 | 
						|
 | 
						|
## --seed-contents--
 | 
						|
 | 
						|
```js
 | 
						|
function euler225() {
 | 
						|
 | 
						|
  return true;
 | 
						|
}
 | 
						|
 | 
						|
euler225();
 | 
						|
```
 | 
						|
 | 
						|
# --solutions--
 | 
						|
 | 
						|
```js
 | 
						|
// solution required
 | 
						|
```
 |