Curious Corridors of Numbers

Each row begins with the number 1 at the left. Skip counting by 2, 3, 4, 5, and so on gives the rest of each row. The diagram can be continued as far as desired. Adding the numbers in each L-shaped region forms a well known mathematical sequence; what pattern shows up? Another mathematical pattern is formed by the numbers along the diagonal? What pattern is this? - idea from Math Puzzles & Games, by Michael Holt, pg 27

 

Bill Lombard —

 
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