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

1,1

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

Mathematica

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

Crossrefs

Cf. A296350, A296351, A296353.

Presumably the similarity to A074215 is merely coincidental.

Sequence in context: A075821 A120515 A047545 * A192052 A187230 A187901

Adjacent sequences: A296349 A296350 A296351 * A296353 A296354 A296355

Keyword

nonn

Author

N. J. A. Sloane, Dec 14 2017

Extensions

More terms from Amiram Eldar, May 13 2020

Status

approved