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%I #39 Mar 30 2014 22:49:46
%S 8,13,22,18,14,13,11,9,6,9,7,7,8,6,8,7
%N The size of the smallest boundary square in simple perfect squared rectangles of order n.
%C Ian Gambini showed in his thesis that the minimum value for a(n) is 5. Brian Trial found 3 simple perfect squared rectangles (SPSRs) of order 28 with boundary squares of size 5 in September 2011. An unsolved problem is to find the lowest order SPSR with a '5 on the side'.
%C Added a(22) = 6 (Stuart Anderson), Brian Trial has found a(28) = 5. This gives an upper bound of 28, in addition to the lower bound of 23, to the problem of finding the lowest order SPSR with a square of size 5 on the boundary. - _Stuart E Anderson_, Sep 29 2011
%C Found a(23) = 8, the lower bound is now order 24. - _Stuart E Anderson_, Nov 30 2012
%C Found a(24) = 7, the lower bound is now order 25. - _Stuart E Anderson_, Dec 07 2012
%D Gambini, Ian. Thesis; 'Quant aux carrés carrelés' L’Universite de la Mediterranee Aix-Marseille II 1999
%H Stuart E. Anderson, <a href="http://www.squaring.net/sq/sr/spsr/spsr_boundary.html">Simple Perfects by Boundary Rules and Conditions</a>
%H Stuart Anderson, <a href="http://www.squaring.net/sq/ss/s-pss.html">'Special' Perfect Squared Squares"</a>, accessed 2014. - _N. J. A. Sloane_, Mar 30 2014
%Y Cf. A002839.
%K nonn
%O 9,1
%A _Stuart E Anderson_, Sep 26 2011
%E Added a(23) = 8, _Stuart E Anderson_, Nov 30 2012
%E Added a(24) = 7, _Stuart E Anderson_, Dec 07 2012
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