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.