A051236 Largest integer a(n) for which the integer interval [ 0,a(n) ] is a subset of the set of determinants of all n X n 0-1 matrices.

1, 1, 2, 3, 5, 9, 18, 40, 102, 268

Offset

1,3

Comments

A definition for a(n) is given in Craigen's paper. The table given there suggests a(9)=102. Term for term, this sequence is one less than the sequence A013588.

References

R. Craigen, The Range of the Determinant Function on the Set of n X n (0,1)-Matrices, J. Combin. Math. Combin. Computing, 8 (1990) pp. 161-171.

Links

Table of n, a(n) for n=1..10.

G. R. Paseman, A Different Approach to Hadamard's Maximum Determinant Problem

Formula

a(n) = A013588(n) - 1

Example

There is a 7x7 0-1 matrix with determinant 20, but no 7x7 0-1 matrix with determinant 19.

Crossrefs

Cf. A013588.

Sequence in context: A234535 A320964 A130581 * A003218 A119002 A058770

Adjacent sequences: A051233 A051234 A051235 * A051237 A051238 A051239

Keyword

hard,nice,nonn

Author

Gerhard R. Paseman (paseman(AT)prado.com)

Extensions

Extended by William Orrick, Jan 12 2006

Status

approved