A034919 Minimal consecutive determinant (negated) of n X n persymmetric matrix with entries {-1,0,+1}.

1, 2, 4, 8, 28, 86, 325, 836, 4764, 20077, 92417, 295457

Offset

1,2

Comments

A persymmetric (or Hankel) matrix has M[ i,j ] = M[ i-k,j+k ] for all i and j (matrix is constant along antidiagonals).

I would love to find out what "consecutive" means here! Adjacent entries along the top row and right side must be consecutive? - N. J. A. Sloane, May 16 2003

Interpretation: largest m such that for each d for which -m <= d <= 0 a matrix with determinant d exists. - Bert Dobbelaere, Jan 26 2019

Links

Table of n, a(n) for n=1..12.

Crossrefs

Cf. A034917, A034918, A034920, A034921.

Sequence in context: A302915 A259135 A219969 * A298682 A151340 A134316

Adjacent sequences: A034916 A034917 A034918 * A034920 A034921 A034922

Keyword

nonn,more

Author

Fred Lunnon, Dec 11 1999

Extensions

a(7)-a(12) from Bert Dobbelaere, Jan 26 2019

Status

approved