Geometric Progression

Write out a series of three or more different whole numbers, starting from 1, so that the numbers add up to a square. Thus, 1+2+4+8+16+32=63, but this is just one short of being a square.

I am only aware of two answers in whole numbers, and these are easy to discover. I am very interested in any other solutions that might be found, as well as any algebraic solutions. Source: Henry Ernest Dudeny, Curious Problems & Puzzles #243

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