A340919 Sorted sizes of the 55 squares used in the first known squared square of dimension 4205 X 4205 found by Roland Sprague in 1938.
13, 29, 35, 39, 50, 52, 65, 78, 87, 91, 104, 116, 117, 130, 140, 143, 145, 174, 182, 195, 203, 221, 232, 234, 247, 261, 270, 286, 290, 299, 305, 312, 319, 325, 340, 375, 406, 429, 435, 493, 522, 551, 565, 575, 615, 638, 665, 667, 696, 705, 725, 957, 1040, 1885, 2320
Offset: 1
Links
- Stuart Anderson, Roland Percival Sprague (1894-1967), history and bibliography on squaring.net.
- James Grime, A Nice Square, Numberphile video, 2017.
- David Moews, Squared rectangles, 2007 (provides Bouwcamp code of square).
- Roland P. Sprague, Beispiel einer Zerlegung des Quadrats in lauter verschiedene Quadrate, Mathematische Zeitschrift, 45, 607-608, 1939.
- R. Sprague, An example of a dissection of the square into pairwise unequal squares, English translation.
Formula
Sum_{k=1..55} a(k)^2 = 4205^2.