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A001130
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Number of graphical basis partitions of 2n.
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2
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1, 1, 3, 4, 6, 11, 16, 23, 36, 52, 71, 103, 141, 197, 272, 366, 482, 657, 863, 1140, 1489, 1951, 2511, 3241, 4155, 5317, 6782, 8574, 10786, 13645, 17111, 21313, 26631, 33020, 41005, 50640, 62373, 76510, 94089, 114991, 140376, 170970, 207837, 251552, 305342, 368474, 444360, 534692, 642593, 770278
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OFFSET
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1,3
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COMMENTS
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A partition of an even integer is graphical if it is the degree sequence of a simple graph.
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REFERENCES
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Nolan, Jennifer M.; Sivaraman, Vijay; Savage, Carla D.; and Tiwari, Pranav K., Graphical basis partitions, Graphs Combin. 14 (1998), no. 3, 241-261. Math. Rev. 99j:05014. See http://www4.ncsu.edu/~savage/papers.html for postscript file.
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LINKS
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Pranav Kumar Tiwari (pktiwari(AT)eos.ncsu.edu)
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EXTENSIONS
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Seven more terms (all that are presently known, apparently) added from the Nolan et al. paper by N. J. A. Sloane, Jun 01 2012
Extended b-file from Nolan et al. paper and adjusted description to even n by Ray Chandler, Sep 17 2015
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STATUS
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approved
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