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

1,1

Links

Table of n, a(n) for n=1..67.

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

Formula

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

Mathematica

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

Crossrefs

Cf. A296351, A296352, A296353.

Sequence in context: A032899 A193528 A232681 * A076436 A028768 A294484

Adjacent sequences: A296347 A296348 A296349 * A296351 A296352 A296353

Keyword

nonn

Author

N. J. A. Sloane, Dec 14 2017

Extensions

More terms from Amiram Eldar, May 13 2020

Status

approved