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Search: id:A158863
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| A158863 |
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Maximal excess of a 3-normalized Hadamard matrix of order 4n. |
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+0
1
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| 4, 8, 36, 32, 76, 72, 124, 128, 180, 200, 244, 288, 316
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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REFERENCES
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W. P. Orrick and B. Solomon, Large-determinant sign matrices of order 4k+1. Discrete Math. 307 (2007), 226-236.
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LINKS
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W. P. Orrick and B. Solomon, The Hadamard Maximal Determinant Problem (website)
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CROSSREFS
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Cf. A004118.
Sequence in context: A149108 A149109 A046056 this_sequence A074736 A044829 A033001
Adjacent sequences: A158860 A158861 A158862 this_sequence A158864 A158865 A158866
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KEYWORD
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hard,more,nonn
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AUTHOR
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Will Orrick (worrick(AT)indiana.edu), Mar 28 2009
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