45 lines
		
	
	
		
			875 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			45 lines
		
	
	
		
			875 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f4c11000cf542c50ffd3
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| title: 'Problem 341: Golomb''s self-describing sequence'
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| challengeType: 5
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| forumTopicId: 302000
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| dashedName: problem-341-golombs-self-describing-sequence
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| ---
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| 
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| # --description--
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| 
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| The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G(n) times in the sequence. The values of G(n) for the first few n are
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| 
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| n123456789101112131415…G(n)122334445556666…
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| 
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| You are given that G(103) = 86, G(106) = 6137. You are also given that ΣG(n3) = 153506976 for 1 ≤ n < 103.
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| 
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| Find ΣG(n3) for 1 ≤ n < 106.
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| 
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| # --hints--
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| 
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| `euler341()` should return 56098610614277016.
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| 
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| ```js
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| assert.strictEqual(euler341(), 56098610614277016);
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| ```
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| 
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| # --seed--
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| 
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| ## --seed-contents--
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| 
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| ```js
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| function euler341() {
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| 
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|   return true;
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| }
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| 
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| euler341();
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| ```
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| 
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| # --solutions--
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| 
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| ```js
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| // solution required
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| ```
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