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List of numbers k such that the determinant of the Unordered Lights Out matrix UBL_k is nonzero.
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%I #15 May 13 2020 07:04:32

%S 3,4,7,8,9,11,13,14,16,17,19,21,22,23,26,27,28,29,31,32,33,34,37,38,

%T 39,41,43,44,46,47,49,51,52,53,56,57,58,59,61,62,63,64,67,68,69,71,73,

%U 74,76,77,79,81,82,83,86,87,88,89,91,92,93,94,97,98,99,101,103

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

%H Martin Kreh, <a href="https://doi.org/10.4169/amer.math.monthly.124.10.937">"Lights Out" and Variants</a>, Amer. Math. Month., Vol. 124 (10), Dec. 2017, pp. 937-950.

%F Numbers m > 2 such that m is not divisible by 5 nor by 6. - _Amiram Eldar_, May 13 2020

%t Select[Range[3, 120], Mod[#, 5] > 0 && Mod[#, 6] > 0 &] (* _Amiram Eldar_, May 13 2020 *)

%Y Cf. A296350, A296351, A296353.

%Y Presumably the similarity to A074215 is merely coincidental.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Dec 14 2017

%E More terms from _Amiram Eldar_, May 13 2020