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A049475 Number of 2n X 2n matrices whose entries are {0,-1,+1} and whose row sums and column sums are all distinct. 4
1, 4, 39, 2260, 1338614 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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

REFERENCES

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.

LINKS

Eric Weisstein's World of Mathematics, See also

EXAMPLE

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

CROSSREFS

Cf. A049526, A049527.

Sequence in context: A086217 A203197 A094156 * A080271 A104292 A131535

Adjacent sequences:  A049472 A049473 A049474 * A049476 A049477 A049478

KEYWORD

nonn,nice,hard

AUTHOR

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

EXTENSIONS

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

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Last modified February 16 17:11 EST 2012. Contains 205938 sequences.