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 | ||
|  | ``` |