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A220166 Number of nonsquare simple squared rectangles of order n up to symmetry. 0

%I #9 Dec 07 2012 20:29:35

%S 0,0,0,0,0,0,0,0,3,6,22,76,246,848,2889,9964,34440,119875,420525,

%T 1482802,5254679,18713933,66968081,240735712

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

%C 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.

%D See A006983 and A217156 for further links.

%H S. E. Anderson, <a href="http://www.squaring.net/sq/sr/spsr/spsr.html">Simple Perfect Squared Rectangles</a> [Nonsquare rectangles only]

%H S. E. Anderson, <a href="http://www.squaring.net/sq/sr/sisr/sisr.html">Simple Imperfect Squared Rectangles</a> [Nonsquare rectangles only]

%Y Cf. A219766, A220165, A002839, A002881.

%K nonn,hard

%O 1,9

%A _Stuart E Anderson_, Dec 06 2012

%E a(9)-a(24) from _Stuart E Anderson_ Dec 07 2012

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