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A158863
Maximal excess of a 3-normalized Hadamard matrix of order 4n.
0
4, 8, 36, 32, 76, 72, 124, 128, 180, 200, 244, 288, 316
OFFSET
1,1
COMMENTS
The excess of a {-1,1} matrix is the sum of its elements. A Hadamard matrix is 3-normalized if its first three rows contain an even number of entries -1 in each column. 3-normalized Hadamard matrices of order 4n with large excess can be used to construct large-determinant {-1,1} matrices of order 4n+1.
LINKS
W. P. Orrick and B. Solomon, The Hadamard Maximal Determinant Problem (website)
W. P. Orrick and B. Solomon, Large-determinant sign matrices of order 4k+1, Discr. Math. 307 (2007), 226-236.
CROSSREFS
Cf. A004118.
Sequence in context: A149109 A266676 A046056 * A074736 A044829 A338086
KEYWORD
hard,more,nonn
AUTHOR
William P. Orrick, Mar 28 2009
STATUS
approved