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A076436 Square board sizes for which the lights-out problem has a unique solution (counting solutions differing only by rotation and reflection as distinct). 10
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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]

LINKS

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]

K. Sutner, Linear cellular automata and the Garden-of-Eden, Math. Intelligencer, 11 (No. 2, 1989), 49-53.

Eric Weisstein's World of Mathematics, Lights Out Puzzle

FORMULA

Positive integer n is in this sequence iff A159257(n)=0. [Max Alekseyev, Sep 25 2009]

CROSSREFS

Cf. A075462, A076437, A117872. Complement of A117870.

Sequence in context: A193528 A232681 A296350 * A028768 A294484 A064528

Adjacent sequences:  A076433 A076434 A076435 * A076437 A076438 A076439

KEYWORD

nonn

AUTHOR

Eric W. Weisstein, Oct 11 2002

EXTENSIONS

More terms from N. J. A. Sloane (based on A117870), May 14 2006, and Thomas Buchholz, May 16 2014

STATUS

approved

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Last modified September 29 18:27 EDT 2020. Contains 337432 sequences. (Running on oeis4.)