A340919 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..55.

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.