Problem 1190. Golomb's self-describing sequence (based on Euler 341)

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

  • n =  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 …
  • G(n) 1 2 2 3 3 4 4 4 5 5  5  6  6  6  6  …

Write a MATLAB script that will give you G(n) when given n.

Efficiency is key here, since some of the values in the test suite will take a while to calculate.

Solve

Solution Stats

45.99% Correct | 54.01% Incorrect
Last Solution submitted on Jan 05, 2026

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers180

Suggested Problems

More from this Author80

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!