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A029894
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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.
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0
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2, 7, 34, 221, 1736, 15584, 153228, 1611189, 17826202, 205282376, 2441437708
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| R. A. Brualdi, H. J. Ryser, Combinatorial Matrix Theory, Cambridge Univ. Press, 1992.
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LINKS
| Index entries for sequences related to graphical partitions
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FORMULA
| Calculated using Cor. 6.3.3, Th. 6.3.6, Cor. 6.2.5 of Brualdi-Ryser.
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CROSSREFS
| Cf. A000569, A004250, A004251, A029889.
Sequence in context: A135882 A143740 A049463 * A110313 A000944 A136310
Adjacent sequences: A029891 A029892 A029893 * A029895 A029896 A029897
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KEYWORD
| nonn
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AUTHOR
| TORSTEN.SILLKE(AT)LHSYSTEMS.COM
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