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

21,1

Links

Table of n, a(n) for n=21..37.

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.

Example

See Pfoertner link.

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.

Sequence in context: A134400 A016095 A298309 * A181399 A349207 A253581

Adjacent sequences: A349202 A349203 A349204 * A349206 A349207 A349208

Keyword

nonn,hard,more

Author

Hugo Pfoertner, Nov 22 2021

Status

approved