A220166 Number of nonsquare simple squared rectangles of order n up to symmetry.

0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 22, 76, 246, 848, 2889, 9964, 34440, 119875, 420525, 1482802, 5254679, 18713933, 66968081, 240735712

Offset: 1

Author

Stuart E Anderson, Dec 06 2012

Keywords

• nonn
• hard

Comments

A squared rectangle (which may be a square) is a rectangle dissected into a finite number, two or more, of integer sized squares. If no two of these squares have the same size the squared rectangle is perfect. A squared rectangle is simple if it does not contain a smaller squared rectangle. The order of a squared rectangle is the number of constituent squares. This sequence counts nonsquare simple perfect squared rectangles and nonsquare simple imperfect squared rectangles.

References

• See A006983 and A217156 for further links.

Links

• S. E. Anderson, Simple Perfect Squared Rectangles [Nonsquare rectangles only]
• S. E. Anderson, Simple Imperfect Squared Rectangles [Nonsquare rectangles only]

Crossrefs

Cf. A219766, A220165, A002839, A002881.

Extensions

a(9)-a(24) from Stuart E Anderson Dec 07 2012