Square of N is equal to sum of first N odd elements.

Interesting correlation between squaring a number N and the sum of the first N odd elements.

     1 *    1 =        1    =    1
     2 *    2 =        4    =    1+3
     3 *    3 =        9    =    1+3+5
     4 *    4 =       16    =    1+3+5+7
     5 *    5 =       25    =    1+3+5+7+9
     6 *    6 =       36    =    1+3+5+7+9+11
     7 *    7 =       49    =    1+3+5+7+9+11+13
     8 *    8 =       64    =    1+3+5+7+9+11+13+15
     9 *    9 =       81    =    1+3+5+7+9+11+13+15+17

     n *    n =      n**2   =    sum of the first Nth odd elements