A349207 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 size of the largest element of the square assumes a maximum over all possible A006983(n) dissections of order n.

2, 4, 2, 3, 16, 17, 48, 29, 62, 69, 64, 88, 70, 111, 355, 333, 543

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

A349208 gives the corresponding sizes of the largest elements that lead to the maximum ratio.

Cf. A006983, A129947, A217149, A228953, A349205, A349206, A349209, A349210.

Sequence in context: A298309 A349205 A181399 * A253581 A165464 A308658

Adjacent sequences: A349204 A349205 A349206 * A349208 A349209 A349210

Keyword

nonn,hard,more

Author

Hugo Pfoertner, Nov 22 2021

Status

approved