[ December 27, 1999 ]
Find more smallest Squares and Cubes whose digits
occur a same number of times

E.g. 10011² = 100220121 has exactly three zero's, three ones and three two's !
Note that the number of different digits in the decimal expansion
may differ from their required frequency.
The next table already give the solutions for frequencies 1 to 7 for the squares.
Though the numbers are definitely 'base-related' they surely display a notable beauty !

Some questions I would like to ask are for instance :
Are there always solutions possible for any frequency ?
What are the possible shortcuts one can make while programming this puzzle ?

For the Cubes and higher Powers solutions
please visit my newest webpage solely dedicated to this interesting topic.
The title is Numbers whose digits occur with same frequency.