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A029894 Number of directed (or Gale-Ryser) graphical partitions: degree-vector pairs (in-degree, out-degree) for directed graphs with n vertices; or possible ordered pair (row-sum, column-sum) vectors for a 0-1 matrix. +0
1
2, 7, 34, 221, 1736, 15584, 153228, 1611189, 17826202, 205282376, 2441437708 (list; graph; listen)
OFFSET

1,1

REFERENCES

R. A. Brualdi, H. J. Ryser, Combinatorial Matrix Theory, Cambridge Univ. Press, 1992.

LINKS

Index entries for sequences related to graphical partitions

FORMULA

Calculated using Cor. 6.3.3, Th. 6.3.6, Cor. 6.2.5 of Brualdi-Ryser.

CROSSREFS

Cf. A000569, A004250, A004251, A029889.

Sequence in context: A135882 A143740 A049463 this_sequence A110313 A000944 A136310

Adjacent sequences: A029891 A029892 A029893 this_sequence A029895 A029896 A029897

KEYWORD

nonn

AUTHOR

TORSTEN.SILLKE(AT)LHSYSTEMS.COM

page 1

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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