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, 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

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