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Examine the following seven sequences of numbers:

1

11

21

1112

3112

211213

312213

What are the next seven sequences of numbers? What is the hundredth sequence in the series?

Puzzle by the late Argentinian puzzler Jaime Poniachik.

Source: https://www.amazon.com/-/es/Bernardo-Recam%C3%A1n/dp/048684241X

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  • $\begingroup$ But is this really a duplicate, since it asks for the 100th sequence in the series, which I'm pretty sure hasn't been asked before...? $\endgroup$
    – Stiv
    Commented Apr 22, 2021 at 6:53
  • $\begingroup$ But, honestly speaking, the answer to this subquestion is pretty obvious, so I ommited it. $\endgroup$
    – z100
    Commented Apr 22, 2021 at 9:50
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    $\begingroup$ @z100 Ah, I see now. Still, it made me smile :) Have never followed this one past the first few terms before... $\endgroup$
    – Stiv
    Commented Apr 22, 2021 at 22:37

1 Answer 1

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Next sequence defined as: no. of characters x from previous one following an x. Ordered from 1 to 9. Example: aabbb, 2a3b, 12131a1b ... So next one: 212223 and then 114213, 31121314, 41122314, 31221324, 21322314, 21322314, ...

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