In a magic NxN square, numbers from 1 to Nē are set so the numbers in each row, column, or major diagonal, have the same sum: the "magic constant".

What is the value of this constant, as a function of N?

Average term = (1 + N^2)/2

Multiply by N^2 to get the total of all terms, and then divide by N to get an average for one row.

Answer = N*(1 + N^2)/2

Posted by Steve Herman on 2005-02-23 15:37:47