The first row of 2 squares has side length 1/2, for total area 1/2, the second row of 3 squares has side length 1/3, for total area 1/3, etc. All the squares together fill out the area of a unit square, showing that the total area is 1. Only the first four rows are shown; the bottom row is at distance 1/1806 from the bottom side of the unit square, a distance too small to easily be seen in the figure.
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2006-12-05 01:23 David Eppstein 256×256×0 (3909 bytes) Graphical demonstration of the sum of the reciprocals of [[Sylvester's sequence]], :<math>1 = \frac12 + \frac13 + \frac17 + \frac1{43} + \frac1{1807} + \cdots</math> The first row of 2 squares has side length 1/2, for total area 1/2, the second row of 3 s
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{{Information |Description=Graphical demonstration of the sum of the reciprocals of Sylvester's sequence, :<math>1 = \frac12 + \frac13 + \frac17 + \frac1{43} + \frac1{1807} + \cdots</math> The first row of 2 squares has side l