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Search: id:A003433
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| A003433 |
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Hadamard maximal determinant problem: largest determinant of (+1,-1)-matrix of order n.
(Formerly M1291)
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+0
8
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| 1, 2, 4, 16, 48, 160, 576, 4096, 14336, 73728, 327680, 2985984, 14929920, 77635584, 418037760, 4294967296, 21474836480, 146028888064
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
See A003432 for references, links and formulae.
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LINKS
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Index entries for sequences related to binary matrices
Eric Weisstein's World of Mathematics, -101-Matrix
W. P. Orrick and B. Solomon, Large-determinant sign matrices of order 4k+1, Discr. Math. 307 (2007), 226-236.
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FORMULA
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a(n) = 2^(n-1)*A003432(n-1). E.g. a(6) = 32*A003432(5) = 32*5 = 160.
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CROSSREFS
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A003432 is the main entry for this sequence. Cf. A051753.
Sequence in context: A103435 A119000 A034917 this_sequence A153951 A165905 A104354
Adjacent sequences: A003430 A003431 A003432 this_sequence A003434 A003435 A003436
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KEYWORD
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nonn,hard,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Entry revised Jan 18 2004.
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