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This article is from the Puzzles FAQ, by Chris Cole chris@questrel.questrel.com and Matthew Daly mwdaly@pobox.com with numerous contributions by others.

385 pickover/pickover.09.p


Title: Cliff Puzzle 9: 3-Atoms and Growth
From: cliff@watson.ibm.com

If you respond to this puzzle, if possible please send me your name,
address, affiliation, e-mail address, so I can properly credit you if
you provide unique information. PLEASE ALSO directly mail me a copy of
your response in addition to any responding you do in the newsgroup. I
will assume it is OK to describe your answer in any article or
publication I may write in the future, with attribution to you, unless
you state otherwise. Thanks, Cliff Pickover

* * *

Start with 3 digits: 1, 2, and 3.
Each succeding row repeats the previous three rows, in order,
as you can see from the following diagram.

1
2
3
123
23123
312323123
12323123312323123
2312331232312312323123312323123

1. What is the sum of digits in the 100th row?

2. Get rid of all the twos. Here I've replaced each of them with a "."

1

 

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