Cuckoss's Egg sequence, next number?

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The discussion centers on the "Cuckoo's Egg" sequence, specifically the next number in the series: 1, 11, 21, 1211, 111221. This sequence follows a "look-and-say" pattern where each term describes the count of digits in the previous term. The next number in the sequence is definitively identified as 312211, which describes the last term as "three ones, two twos, and one one." The conversation highlights the challenge of recognizing patterns in numerical sequences, particularly for those unfamiliar with the look-and-say concept.

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"Cuckoss's Egg" sequence, next number?

In The cuckoo's Egg by Cliff Stoll, an astronomer at Berkeley Lab and then at Harvard, who had discovered that hacker's infiltrated his computer--and of the military government. He was very good at understanding the hacker at at time when the government had never considered this possibility. He records a conversation with a friend at National Security Lab:

"OTTFFSS, what's the next letter Cliff?"

This was an oldie. "One, Two, Three...the next letter is E for eight."

"Complete the series Cliff: 1, 11, 21, 1211, 111221..."

Cliff adds, "I looked at it for five minutes and gave up. To this day, I still haven't solved it."

I really wonder about that series, does anyone see how it goes?
 
Last edited:
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Yes, this puzzle has been posted here before :

In white Each new number tells the digits that occur in the previous number, in terms of their repetitions. Let me transcribe the existing series :

[ start with 1=ONE ]
11=one ONE
21=two ONEs
1211=one TWO, one ONE
111221=one ONE, one TWO & two ONEs

the next line must describe this last line, which has "three ONEs, two TWOs, & one ONE = 312211 [/color]
 


Based on the given information, it is impossible to accurately determine the next number in the sequence. The series seems to be following a pattern of repeating numbers and adding one, but without any further context or information, it is difficult to determine the exact pattern. It is possible that the series has no specific pattern and is simply a mathematical puzzle for entertainment. Without more information, the next number in the sequence could be any number.
 

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