A165741 Positive integers n such that the toric n X n "Lights Out" puzzle has a unique solution (up to the order of flippings; each flipping appears at most once).

1, 2, 4, 7, 8, 11, 13, 14, 16, 19, 22, 23, 26, 28, 29, 32, 37, 38, 41, 43, 44, 46, 47, 49, 52, 53, 56, 58, 59, 61, 64, 67, 71, 73, 74, 76, 77, 79, 82, 83, 86, 88, 89, 91, 92, 94, 97, 98, 101, 103, 104, 106, 107, 109, 112, 113, 116, 118, 121, 122, 128, 131, 133, 134, 137

Offset: 1

Author

Max Alekseyev, Sep 25 2009

Keywords

• nonn

Comments

Complement to the sequence A165740 in the set of positive integers.

References

• See A165738 for the references.

Links

• Max Alekseyev and Thomas Buchholz, Table of n, a(n) for n = 1..1000 [terms 66 through 1000 were computed by Thomas Buchholz, May 20 2014]

Crossrefs

Cf. A159257, A075462, A076436, A165740.

Formula

n is in this sequence iff A165738(n)=0.

Extensions

More terms from Thomas Buchholz, May 20 2014