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A296351
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List of nonzero determinants of Bordered Lights Out matrices BL_k.
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4
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-3, -7, 2197, -34391, -4002939, 276762749, -133968364171875, -239121867667810023, 105499562776343659717577, -3916466797684156666150912, -684705401333128471131344184438251, 225821697750350580274314863789803277056101, -2768960885387220187221550050659464666284508951
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OFFSET
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1,1
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COMMENTS
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For the orders of these matrices see A296350.
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LINKS
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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.
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A296350, A296352, A296353.
Sequence in context: A104052 A062625 A175986 * A349007 A101006 A306632
Adjacent sequences: A296348 A296349 A296350 * A296352 A296353 A296354
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane, Dec 14 2017
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STATUS
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approved
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