A349205 a(n) is the side length (size) of the smallest element in a simple perfect squared square of order n such that the ratio of the size of the smallest element to the total size of the square assumes a maximum over all possible A006983(n) dissections of order n.

2, 4, 2, 3, 12, 17, 48, 29, 62, 53, 64, 156, 70, 270, 257, 333, 716

Offset: 21

Author

Hugo Pfoertner, Nov 22 2021

Keywords

• nonn
• hard
• more

Examples

			See Pfoertner link.
		

Links

• Stuart E. Anderson, Catalogues of Perfect Squared Squares.
• Hugo Pfoertner, Data of squares with maximum ratio, (Nov 2021).
• Rainer Rosenthal, Illustration of sequence terms, Nov 2021.

Crossrefs

A349206 gives the corresponding total sizes of those squares that lead to the maximum ratio.

Cf. A006983, A129947, A217149, A228953, A349207, A349208, A349209, A349210.