Theon's Ladder and Squangular Numbers

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Grade Vs Difficulty:
  EasyModerateChallengingPerplexing
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5-6
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13-14

This lesson investigates numbers that are triangular and square at the same time, and relates these numbers to a well known approximation scheme for the square root of two.

This is a sample from

James Tanton, Mathematical Outpourings: Newsletters and Musings from the
St. Mark’s Institute of Mathematics