login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A296353 List of nonzero determinants of Unbordered Lights Out matrices UBL_k. 4
80, -1215, 142805, -7004233215, 870763219280, 87789257318405, 45421053339522658203125, -7059547871395329316834815, -19913109703689000789427796194815, 42950557989828549673287680, 940419421873808776346210289268985127605 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For the orders of these matrices see A296352.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..31

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

MATHEMATICA

K[n_] := Table[If[MemberQ[{0, 1, n - 1}, Abs[i - j]], 1, 0], {i, 1, n}, {j, 1, n}]; UL[n_] := KroneckerProduct[(kn = K[n]), (in = IdentityMatrix[n])] + KroneckerProduct[in, kn] - IdentityMatrix[n^2]; Select[Table[Det @ UL[n], {n, 3, 20}], # != 0 &] (* Amiram Eldar, May 13 2020 *)

CROSSREFS

Cf. A296350, A296351, A296352.

Sequence in context: A251427 A275701 A168364 * A126861 A038727 A204476

Adjacent sequences:  A296350 A296351 A296352 * A296354 A296355 A296356

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Dec 14 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 26 05:00 EDT 2020. Contains 337346 sequences. (Running on oeis4.)