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A048194 Total number of split graphs (chordal + chordal complement) on n vertices. 12
1, 2, 4, 9, 21, 56, 164, 557, 2223, 10766, 64956, 501696, 5067146, 67997750, 1224275498, 29733449510, 976520265678, 43425320764422, 2616632636247976, 213796933371366930, 23704270652844196754, 3569464106212250952762 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Also number of bipartite graphs with n vertices and no isolated vertices in distinguished bipartite block, up to isomorphism; so a(n) equals first differences of A049312 - Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 17 2000

LINKS

Gordon Royle, Counting set covers and split graphs, J. Integer Seqs., Vol. 3 (2000), #00.2.6

Vladeta Jovovic, Binary matrices up to row and column permutations.

Index entries for sequences related to posets

CROSSREFS

Cf. A048192-A048194, A055080.

Detlef Pauly remarks that this is the unlabeled analogue of A001831.

Sequence in context: A148074 A130866 A123458 * A148075 A058718 A148076

Adjacent sequences:  A048191 A048192 A048193 * A048195 A048196 A048197

KEYWORD

nonn,nice,easy

AUTHOR

Gordon Royle (gordon(AT)maths.uwa.edu.au)

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.