---
id: 5900f4c11000cf542c50ffd3
title: 'Problem 341: Golomb''s self-describing sequence'
challengeType: 5
forumTopicId: 302000
dashedName: problem-341-golombs-self-describing-sequence
---

# --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.

# --hints--

`euler341()` should return 56098610614277016.

```js
assert.strictEqual(euler341(), 56098610614277016);
```

# --seed--

## --seed-contents--

```js
function euler341() {

  return true;
}

euler341();
```

# --solutions--

```js
// solution required
```