Integers that are both perfect squares and cubes

64 is the first number after 1 to be both a square and a cube: 64 = 8^2 = 4^3.

Let's find few others.

The On-Line Encyclopedia of Integer Sequences gives

http://www.research.att.com/~njas/sequences/index.html?q=0,+1,+64,+729,+4096,+15625&language=english&go=Search

0, 1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1000000, 1771561, 2985984, 4826809, 7529536, 11390625, 16777216, 24137569, 34012224, 47045881, 64000000, 85766121, 113379904, 148035889, 191102976, 244140625, 308915776

0 = 0^3 = 0^2

1 = 1^3 = 1^2

64 = 4^3 = 8^2

729 = 9^3 = 27^2

4096 = 16^3 = 64^2

15625 = 25^3 = 125^2

46656 = 36^3 = 216^2

117649 = 49^3 = 343^2

etc.

A pattern emerges..... Do you see it?