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Square Laminas

Problem

A square lamina can be made from 1, 4, 9, 16, 25, ... unit square tiles. But by placing a square hole in the centre of the lamina it is possible to make a "hollow" square lamina from a non-square number such as 32,

   62 minus 22 = 36 minus 4 = 32

How many different square laminas can be made from 240 unit square tiles?

Problem ID: 56 (Nov 2001)     Difficulty: 2 Star

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