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%I #5 May 31 2018 11:09:52
%S 4,8,36,32,76,72,124,128,180,200,244,288,316
%N Maximal excess of a 3-normalized Hadamard matrix of order 4n.
%C 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.
%H W. P. Orrick and B. Solomon, <a href="http://www.indiana.edu/~maxdet">The Hadamard Maximal Determinant Problem</a> (website)
%H W. P. Orrick and B. Solomon, <a href="https://dx.doi.org/10.1016/j.disc.2006.04.041">Large-determinant sign matrices of order 4k+1</a>, Discr. Math. 307 (2007), 226-236.
%Y Cf. A004118.
%K hard,more,nonn
%O 1,1
%A _William P. Orrick_, Mar 28 2009