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A296351 List of nonzero determinants of Bordered Lights Out matrices BL_k. 4
-3, -7, 2197, -34391, -4002939, 276762749, -133968364171875, -239121867667810023, 105499562776343659717577, -3916466797684156666150912, -684705401333128471131344184438251, 225821697750350580274314863789803277056101, -2768960885387220187221550050659464666284508951 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For the orders of these matrices see A296350.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..37

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

MATHEMATICA

J[n_] := Table[If[Abs[i - j] < 2, 1, 0], {i, 1, n}, {j, 1, n}]; BL[n_] := KroneckerProduct[(jn = J[n]), (in = IdentityMatrix[n])] + KroneckerProduct[in, jn] - IdentityMatrix[n^2]; Select[Table[Det @ BL[n], {n, 2, 21}], # != 0 &] (* Amiram Eldar, May 13 2020 *)

CROSSREFS

Cf. A296350, A296352, A296353.

Sequence in context: A104052 A062625 A175986 * A349007 A101006 A306632

Adjacent sequences: A296348 A296349 A296350 * A296352 A296353 A296354

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Dec 14 2017

STATUS

approved

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Last modified January 26 16:14 EST 2023. Contains 359833 sequences. (Running on oeis4.)