

A165740


Positive integers n such that solution to the toric n X n "Lights Out" puzzle is not unique (up to the order of flippings; each flipping appears at most once).


3



3, 5, 6, 9, 10, 12, 15, 17, 18, 20, 21, 24, 25, 27, 30, 31, 33, 34, 35, 36, 39, 40, 42, 45, 48, 50, 51, 54, 55, 57, 60, 62, 63, 65, 66, 68, 69, 70, 72, 75, 78, 80, 81, 84, 85, 87, 90, 93, 95, 96, 99, 100, 102, 105, 108, 110, 111, 114, 115, 117, 119, 120, 123, 124, 125, 126
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OFFSET

1,1


COMMENTS

Complement to the sequence A165741 in the set of positive integers.
Any positive multiple of a member of this sequence is also a member. Primitive elements are in A007802.  Thomas Buchholz, May 23 2014


REFERENCES

See A165738 for the references.


LINKS

Max Alekseyev and Thomas Buchholz, Table of n, a(n) for n = 1..1000 [terms 67 through 1000 were computed by Thomas Buchholz, May 20 2014]


FORMULA

A number n is in this sequence iff A165738(n) > 0.


CROSSREFS

Cf. A159257, A075462, A117870, A165741, A007802, A165738.
Sequence in context: A239064 A227455 A237417 * A241571 A080307 A001969
Adjacent sequences: A165737 A165738 A165739 * A165741 A165742 A165743


KEYWORD

nonn


AUTHOR

Max Alekseyev, Sep 25 2009


EXTENSIONS

More terms from Thomas Buchholz, May 20 2014


STATUS

approved



