The nth power of n

Known as: The nth power of n

The first 20 terms (starting from n=1) are:

1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 302875106592253 11112006825558016 437893890380859375 18446744073709551616 827240261886336764177 39346408075296537575424 1978419655660313589123979