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An Arrangement of 15 you were asked to place the numbers 1 to 15 in a line so that any two adjacent numbers summed to a square number.
Now, try to arrange the numbers from 1 to 32 in a circle, so any two adjacent numbers again sum a square number.
This has really motivated me to try some programming to find out whether there is a general correspondence to any integer from 1....May be this is much involved job using large computation even with a computer....lots of permutations and combinations to tryout I think.