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A076436
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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 distinct).
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10
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1, 2, 3, 6, 7, 8, 10, 12, 13, 15, 18, 20, 21, 22, 25, 26, 27, 28, 31, 36, 37, 38, 40, 42, 43, 45, 46, 48, 51, 52, 55, 56, 57, 58, 60, 63, 66, 68, 70, 72, 73, 75, 76, 78, 80, 81, 82, 85, 86, 87, 88, 90, 91, 93, 96, 97, 100, 102, 103, 105, 106, 108, 110, 111, 112, 115, 116, 117, 120
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OFFSET
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1,2
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COMMENTS
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These are also the boards where any starting configuration can be turned off. - Robert Cowen (robert.cowen(AT)gmail.com), Jan 06 2007. [Comment corrected by Sune Kristian Jakobsen (sunejakobsen(AT)hotmail.com), Feb 04 2008]
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LINKS
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N. J. A. Sloane and Thomas Buchholz, Table of n, a(n) for n = 1..1000 [terms were extended by N. J. A. Sloane (based on A117870), May 14 2006; terms 70 through 1000 were computed by Thomas Buchholz, May 16 2014]
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FORMULA
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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