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$\begingroup$ I might misunderstand, but surely shouldn't the 6x6 square result in (6x6)x1 + (5x5)x4 + (4x4)x9 + (3x3)x16 + (2x2)x25 + (1x1)x36 so 560 squares within the 6x6 alone? $\endgroup$
– Tanenthor
Commented May 30 at 5:14
$\begingroup$ @Tanenthor, you're counting the number of unit squares in each larger square, and therefore you're counting the unit squares over and over again. For example, the 6x6 square contains only four squares with area 5x5, and one 5x5 square counts as one square: size of the square doesn't matter. $\endgroup$
– Lezzup
Commented May 30 at 7:18
$\begingroup$ I don't know why that went over my head... I should trust that the people giving top accepted answers in a puzzling forum are better at puzzling than I! $\endgroup$
– Tanenthor
Commented May 30 at 23:18

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