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E27. A puzzling sequence

Someone gave me the following puzzle at a party. I don't know the source. It involves nothing beyond elementary school mathematics.

Find a simple pattern in the following sequence, and give the next row:

1
1 1
2 1
1 2 1 1
1 1 1 2 2 1
3 1 2 2 1 1

2 comments:

Ethan Bolker said...

See

http://math.stackexchange.com/questions/653049/is-the-look-and-say-sequence-a-proper-maths-problem/653755#653755

A little searching finds several good web references. Here's an exercise I did with some seventh graders a month or so ago.

http://www.cs.umb.edu/~eb/sam/lookandsay/lookandsay.pdf

April 14, 2014 at 7:42 AM
Ethan Bolker said...
This comment has been removed by the author.
April 14, 2014 at 7:43 AM

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