Friday, May 12, 2017

lateral thinking - A sequence named by a children's toy



Here's a part of the sequence:


(A)
(B)

(C)
(D)
(E)
1113122113
311311222113
...

The letters are the missing members (there are 5 missing members) and A is the first member of the sequence. The last member presented is not the end of the sequence, it can go on forever.


The sequence begins with a single integer. Can you tell which one? Simplest solution takes the cake.



Answer




3


13


1113


3113


132113


1113122113


311311222113


Bonus points:


The next in the series:


13211321322113



Unless I made a typo, I'm fairly certain this is all correct. It's the look and say sequence, where the next number describes the last;


1


11 (there's 1 1)


21 (there's 2 1s)


1211 (there's 1 2 and 1 1s)


So in other words, 3 is the first integer.


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