Henry Ernest Dudeney/Puzzles and Curious Problems/229 - Geometrical Progression

by : $229$

 * Geometrical Progression
 * Write out a series of whole numbers in geometrical progression, starting from $1$,
 * so that the numbers should add up to a square.
 * Thus, $1 + 2 + 4 + 8 + 16 + 32 = 63$.
 * But this is one short of being a square.


 * I am only aware of two answers in whole numbers, and these will be found easy to discover.