This site is supported by donations to The OEIS Foundation.

 Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A003433 Hadamard maximal determinant problem: largest determinant of (+1,-1)-matrix of order n. (Formerly M1291) 10
 1, 2, 4, 16, 48, 160, 576, 4096, 14336, 73728, 327680, 2985984, 14929920, 77635584, 418037760, 4294967296, 21474836480, 146028888064, 894426939392, 10240000000000, 59392000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES Ed Hughes and Rob Pratt, New Features in SAS/OR 13.1, SAS Paper SAS256-2014. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). See A003432 for further references, links and formulas. LINKS Richard P. Brent and Judy-anne H. Osborn, On minors of maximal determinant matrices, arXiv preprint arXiv:1208.3819 [math.CO], 2012. Ion Nechita, Some analytical aspects of Hadamard matrices. W. P. Orrick and B. Solomon, Large-determinant sign matrices of order 4k+1, Discr. Math. 307 (2007), 226-236. Eric Weisstein's World of Mathematics, -11-Matrix FORMULA a(n) = 2^(n-1)*A003432(n-1). E.g., a(6) = 32*A003432(5) = 32*5 = 160. a(n) <= n^(n/2). CROSSREFS A003432 is the main entry for this sequence. Cf. A051753. Cf. A188895 (number of distinct matrices having this maximal determinant). Sequence in context: A119000 A034917 A215724 * A153951 A248748 A165905 Adjacent sequences:  A003430 A003431 A003432 * A003434 A003435 A003436 KEYWORD nonn,hard,nice AUTHOR EXTENSIONS a(19)-a(21) added by William P. Orrick, Dec 20 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 13 23:26 EST 2018. Contains 318087 sequences. (Running on oeis4.)