A296352 List of numbers k such that the determinant of the Unordered Lights Out matrix UBL_k is nonzero.

3, 4, 7, 8, 9, 11, 13, 14, 16, 17, 19, 21, 22, 23, 26, 27, 28, 29, 31, 32, 33, 34, 37, 38, 39, 41, 43, 44, 46, 47, 49, 51, 52, 53, 56, 57, 58, 59, 61, 62, 63, 64, 67, 68, 69, 71, 73, 74, 76, 77, 79, 81, 82, 83, 86, 87, 88, 89, 91, 92, 93, 94, 97, 98, 99, 101, 103

Offset: 1

Author

N. J. A. Sloane, Dec 14 2017

Keywords

• nonn

Links

• Martin Kreh, "Lights Out" and Variants, Amer. Math. Month., Vol. 124 (10), Dec. 2017, pp. 937-950.

Crossrefs

Cf. A296350, A296351, A296353.

Presumably the similarity to A074215 is merely coincidental.

Programs

Mathematica

Select[Range[3, 120], Mod[#, 5] > 0 && Mod[#, 6] > 0 &] (* Amiram Eldar, May 13 2020 *)

Formula

Numbers m > 2 such that m is not divisible by 5 nor by 6. - Amiram Eldar, May 13 2020

Extensions

More terms from Amiram Eldar, May 13 2020