

A158863


Maximal excess of a 3normalized Hadamard matrix of order 4n.


0



4, 8, 36, 32, 76, 72, 124, 128, 180, 200, 244, 288, 316
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OFFSET

1,1


COMMENTS

The excess of a {1,1} matrix is the sum of its elements. A Hadamard matrix is 3normalized if its first three rows contain an even number of entries 1 in each column. 3normalized Hadamard matrices of order 4n with large excess can be used to construct largedeterminant {1,1} matrices of order 4n+1.


LINKS

Table of n, a(n) for n=1..13.
W. P. Orrick and B. Solomon, The Hadamard Maximal Determinant Problem (website)
W. P. Orrick and B. Solomon, Largedeterminant sign matrices of order 4k+1, Discr. Math. 307 (2007), 226236.


CROSSREFS

Cf. A004118.
Sequence in context: A149109 A266676 A046056 * A074736 A044829 A338086
Adjacent sequences: A158860 A158861 A158862 * A158864 A158865 A158866


KEYWORD

hard,more,nonn


AUTHOR

William P. Orrick, Mar 28 2009


STATUS

approved



