A296350 List of numbers k such that the determinant of the Bordered Lights Out matrix BL_k is nonzero.

2, 3, 6, 7, 8, 10, 12, 13, 15, 16, 18, 20, 21, 22, 25, 26, 27, 28, 30, 31, 32, 33, 36, 37, 38, 40, 42, 43, 45, 46, 48, 50, 51, 52, 55, 56, 57, 58, 60, 61, 62, 63, 66, 67, 68, 70, 72, 73, 75, 76, 78, 80, 81, 82, 85, 86, 87, 88, 90, 91, 92, 93, 96, 97, 98, 100, 102

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. A296351, A296352, A296353.

Programs

Mathematica

Select[Range[2, 102], Mod[# + 1, 5] > 0 && Mod[# + 1, 6] > 0 &] (* Amiram Eldar, May 13 2020 *)

Formula

Numbers m > 1 such that m+1 is not divisible by 5 nor by 6. - Amiram Eldar, May 13 2020

Extensions

More terms from Amiram Eldar, May 13 2020