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---
id: 5900f4c11000cf542c50ffd3
challengeType: 5
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title: 'Problem 341: Golomb''s self-describing sequence'
forumTopicId: 302000
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localeTitle: 'Задача 341: самоописательная последовательность Голомба'
---
## Description
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< section id = 'description' >
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
n123456789101112131415…G(n)122334445556666…
You are given that G(103) = 86, G(106) = 6137.
You are also given that ΣG(n3) = 153506976 for 1 ≤ n < 103.
Find ΣG(n3) for 1 ≤ n < 106.
< / section >
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## Instructions
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< section id = 'instructions' >
< / section >
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## Tests
< section id = 'tests' >
```yml
tests:
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- text: < code > euler341()</ code > should return 56098610614277016.
testString: assert.strictEqual(euler341(), 56098610614277016);
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```
< / section >
## Challenge Seed
< section id = 'challengeSeed' >
< div id = 'js-seed' >
```js
function euler341() {
// Good luck!
return true;
}
euler341();
```
< / div >
< / section >
## Solution
< section id = 'solution' >
```js
// solution required
```
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< / section >