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

1,1

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.

Crossrefs

Cf. A005670, A006983, A014530, A018835, A089047.

Sequence in context: A347816 A319167 A088909 * A345705 A322388 A096451

Adjacent sequences: A340916 A340917 A340918 * A340920 A340921 A340922

Keyword

nonn,fini,full

Author

Hugo Pfoertner, Feb 16 2021

Status

approved