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A029889
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Number of graphical partitions (degree-vectors for graphs with n vertices, allowing self-loops which count as degree 1; or possible ordered row-sum vectors for a symmetric 0-1 matrix).
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11
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2, 5, 14, 43, 140, 476, 1664, 5939, 21518, 78876, 291784, 1087441, 4077662, 15369327, 58184110, 221104527, 842990294, 3223339023
(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
| T. M. Barnes and C. D. Savage, A recurrence for counting graphical partitions, Electronic J. Combinatorics, 2 (1995)
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.
Sequence in context: A149880 A066351 A181496 * A123020 A005317 A126566
Adjacent sequences: A029886 A029887 A029888 * A029890 A029891 A029892
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KEYWORD
| nonn
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AUTHOR
| TORSTEN.SILLKE(AT)LHSYSTEMS.COM
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