freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-341-golombs-self-describing-sequence.english.md
mrugesh 22afc2a0ca feat(learn): python certification projects (#38216)
Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com>
Co-authored-by: Beau Carnes <beaucarnes@gmail.com>
2020-05-27 13:19:08 +05:30

1.1 KiB

id, challengeType, isHidden, title, forumTopicId
id challengeType isHidden title forumTopicId
5900f4c11000cf542c50ffd3 5 false Problem 341: Golomb's self-describing sequence 302000

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.

Instructions

Tests

tests:
  - text: <code>euler341()</code> should return 56098610614277016.
    testString: assert.strictEqual(euler341(), 56098610614277016);

Challenge Seed

function euler341() {
  // Good luck!
  return true;
}

euler341();

Solution

// solution required