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Square board sizes for which the lights out problem has a unique solution (counting solutions differing only by rotation and reflection as equivalent).
4

%I #14 Apr 01 2018 19:29:25

%S 1,2,3,5,6,7,8,10,12,13,15,17,18,20,21,22,25,26,27,28,31,36,37,38,40,

%T 41,42,43,45,46,48,51,52,53,55,56,57,58,60,63,66,68,70,72,73,75,76,77,

%U 78,80

%N Square board sizes for which the lights out problem has a unique solution (counting solutions differing only by rotation and reflection as equivalent).

%H M. Anderson and T. Feil, <a href="http://www.jstor.org/stable/2690705">Turning Lights Out with Linear Algebra</a>, Mathematics Magazine, 71 (1998), 300-303

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LightsOutPuzzle.html">Lights Out Puzzle</a>

%Y Cf. A075463, A076436.

%K nonn,more

%O 1,2

%A _Eric W. Weisstein_, Oct 11 2002

%E More terms from _Zhao Hui Du_, Mar 29 2014