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A058527 Number of 2n X 2n 0-1 matrices with n ones in each row and each column. 3
1, 2, 90, 297200, 116963796250, 6736218287430460752, 64051375889927380035549804336, 108738182111446498614705217754614976371200 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

M. A. Khojastepour, M. Farajzadeh-Tehrani, Characterizing per Node Degrees of Freedom in an Interference Network, 2014; http://mysbfiles.stonybrook.edu/~mfarajzadeht/Conf2.pdf

LINKS

Vladeta Jovovic, Nov 12 2006, Table of n, a(n) for n = 0..15

A Conflitti, C. M. Da Fonseca, R. Mamede, The maximal length of a chain in the Bruhat order for a chain of binary matrices., Lin. Algebra Applic. (2011)

ALESSANDRO CONFLITTI, C. M. DA FONSECA AND RICARDO MAMEDE, On the largest size of an antichain in the Bruhat order for A(2k, k), http://www.mat.uc.pt/preprints/ps/pre1125.ps.

Alessandro Conflitti, C. M. da Fonseca and Ricardo Mamede, On the Largest Size of an Antichain in the Bruhat Order for A(2k,k), ORDER, 2011, DOI: 10.1007/s11083-011-9241-1; http://www.springerlink.com/content/97618878447631j8/

B. D. McKay, 0-1 matrices with constant row and column sums

Wikipedia, Dynamic programming

CROSSREFS

A diagonal of triangle in A008300. Cf. A001499, A001501.

Sequence in context: A212301 A226339 A157064 * A138583 A193747 A242176

Adjacent sequences:  A058524 A058525 A058526 * A058528 A058529 A058530

KEYWORD

nonn

AUTHOR

David desJardins (david(AT)desjardins.org), Dec 22 2000

EXTENSIONS

More terms (using dynamic programming in Python) from Greg Kuperberg (greg(AT)math.ucdavis.edu), Feb 08 2001

More terms from Vladeta Jovovic, Nov 12 2006

STATUS

approved

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Last modified November 28 02:24 EST 2014. Contains 250286 sequences.