1,2

Matrices differing by taking transpose, multiplying by -1 and permuting rows and columns are regarded as equivalent.

It is known (see references) that a (2n+1) X (2n+1) matrix of this form cannot exist.

Rainer Bodendiek, Gustav Burosch; Streifz"uge durch die Kombinatorik, Aufgaben und L"osungen aus dem Schatz der Mathematik-Olympiaden, (Excursions into Combinatorics) Spektrum Akademischer Verlag, Heidelberg, 1995, ISBN 3-86025-393-X Kapitel: Aufgaben zu Invarianten, Aufgabe 5.30, pp. 250-253.

Fred Galvin, posting to sci.math, Date: 1999-09-25 - Solution to the antimagic 0,1,-1 matrix problem.

Eric Weisstein's World of Mathematics, See also

A 2 X 2 example: [ 1 1; 0 -1 ].

Cf. A049526, A049527.

Sequence in context: A165434 A086217 A094156 this_sequence A080271 A104292 A131535

Adjacent sequences: A049472 A049473 A049474 this_sequence A049476 A049477 A049478

nonn,nice,hard

Michael Kleber (michael.kleber(AT)gmail.com)

Bodendiek-Burosch reference from TORSTEN.SILLKE(AT)LHSYSTEMS.COM.