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Number of nonsquare simple imperfect squared rectangles of order n up to symmetry.
4

%I #24 Jul 28 2024 17:00:01

%S 0,0,0,0,0,0,0,0,1,0,0,9,33,104,280,948,3014,9494,30302,98897,323372,

%T 1080168,3666666,12604812,43734613,153788715

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

%C A squared rectangle 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. 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.

%D See A002881 and A006983.

%H Stuart E. Anderson, <a href="http://www.squaring.net/sq/sr/sisr/sisr.html">Simple Imperfect Squared Rectangles, orders 9 to 24</a>

%Y Cf. A002881, A006983, A002962, A002839.

%K nonn,hard

%O 1,12

%A _Stuart E Anderson_, Dec 06 2012

%E a(25) from _Stuart E Anderson_, May 07 2024

%E a(26) from _Stuart E Anderson_, Jul 28 2024