This site is supported by donations to The OEIS Foundation.



Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A217152 Number of nontrivially compound perfect squared rectangles of order n up to symmetries of the rectangle and its subrectangles. 5
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 9, 46, 191, 781, 3161, 15002 (list; graph; refs; listen; history; text; internal format)



A squared rectangle (which may be a square) is a rectangle dissected into a finite number, two or more, of squares. If no two of these squares have the same size the squared rectangle is perfect. The order of a squared rectangle is the number of constituent squares.

A squared rectangle is simple if it does not contain a smaller squared rectangle, compound if it does, and trivially compound if a constituent square has the same side length as a side of the squared rectangle under consideration.


Table of n, a(n) for n=1..19.

I. Gambini, Quant aux carres carreles, Thesis, Universite de la Mediterranee Aix-Marseille II, 1999, p. 24. [But symmetries of subrectangles counted as distinct.]

Index entries for squared rectangles

Index entries for squared squares


Cf. A217153 (counts symmetries of subrectangles as distinct).

Cf. A002839, A110148, A181340, A217154, A217155.

Sequence in context: A001926 A213749 A085385 * A081193 A250722 A250776

Adjacent sequences:  A217149 A217150 A217151 * A217153 A217154 A217155




Geoffrey H. Morley, Sep 27 2012


a(18) and a(19) added by Geoffrey H. Morley, Oct 12 2012



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 17 04:31 EST 2018. Contains 318192 sequences. (Running on oeis4.)