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A247158 Number of binary n X n matrices in which each row or column sum is at most n/2. 10
1, 1, 7, 34, 7343, 304186, 1709852332, 702998475376, 94473463102448047, 417235486592360297626, 1273060578884483984898786092, 63478599188626680785194983697744, 4243780803142765740205701619107014789924 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
E. Ordentlich, F. Parvaresh, R. M. Roth, Asymptotic enumeration of binary matrices with bounded row and column sums, SIAM J. Discrete Math. 26 (4) (2012) 1550-1575.
E. Ordentlich, F. Parvaresh, R. M. Roth, Asymptotic enumeration of binary matrices with bounded row and column weights, HPL-2011-239.
EXAMPLE
a(2)=7 counts the following 2 X 2 matrices: 1 matrix with all zeros, 4 matrices where a 1 is at any of the four corners, and 2 matrices with 1's covering a diagonal.
CROSSREFS
Sequence in context: A027683 A196968 A000829 * A285802 A340523 A061825
KEYWORD
nonn
AUTHOR
R. J. Mathar, Nov 21 2014
EXTENSIONS
a(6)-a(9) from Hiroaki Yamanouchi, Nov 22 2014
a(10)-a(11) from Hiroaki Yamanouchi, Nov 26 2014
a(12) from Andrew Howroyd, May 31 2017
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)