• Squares from products of integers 

    Banks, William David, 1964-; Van Der Poorten, A. J. (2006)
    Notice that 1_2_3_4+1 = 52 , 2_3_4_5+1 = 112 , 3_4_5_6+1 = 192 , . . . . Indeed, it is well known that the product of any four consecutive integers always differs by one from a perfect square. However, a little experimentation ...