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Square sequence (Posted on 2003-09-09) Difficulty: 3 of 5
Here is a square sequence of numbers.

392?
6  3
7  4
?817
What are the two question marks?

See The Solution Submitted by Gamer    
Rating: 4.5000 (4 votes)

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No Subject | Comment 13 of 18 |
(In reply to re(3): Solution (further analysis) by SilverKnight)

Amazing!
The power of numbers. Wow.

Some more analysis (I won't even try to find an explanation for this):

* Period 4 and 20 contain only even digits (and numbers), but Period 12 contains 0 as well
* Period 4 contains each even number once
* Period 20 contains each even number and the zero 4 times
* Period 12 contains all digits except 0 and 5 (which are on their own in Period 3). Each odd number occurs twice, each even only once. Between two equal odd numbers are either 3 or 7 (depends in which direction you count) different numbers. In such a row of 3 there is an even number in the middle, in a row 7 there are even numbers behind the odd from which you are counting, before the next equal odd and another one in the middle of that 7-digits-row. (Yeah, I know, that's nothing unusual.)
* Every digit inside Period 20 appears 4 times. With exception of the 0 (which is logically vertically paired twice)each digit is once horizontally paired and once diagonally paired.
* Period 60 contains all the digits, but mostly odds. Each odd digit (except 5, again vertically paired by force) is once horizontally paired and once diagonally paired.

* All digits from Period 1 and 4 combined appear in Period 20. All digits from Period 3 and 12 combined appear in Period 60.
* With the exceptiom of Period 1 and 3 you could create a square with all of them.

More useless facts for you.

Something is wrong with the board. I replied to SK but I was logged off and now it shows up as no subject.
Edited on September 10, 2003, 10:12 pm
Edited on September 10, 2003, 10:14 pm
  Posted by abc on 2003-09-10 22:11:34

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