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 A014374 Number of trivalent connected simple graphs with 2n nodes and girth at least 6. 20
 1, 0, 0, 0, 0, 0, 0, 1, 1, 5, 32, 385, 7574, 181227, 4624501, 122090544, 3328929954, 93990692595, 2754222605376 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,10 COMMENTS The null graph on 0 vertices is vacuously connected and 3-regular; since it is acyclic, it has infinite girth. [Jason Kimberley, Jan 29 2011] REFERENCES CRC Handbook of Combinatorial Designs, 1996, p. 647. M. Meringer, Fast Generation of Regular Graphs and Construction of Cages. Journal of Graph Theory, 30 (1999), 137-146. [Jason Kimberley, Jan 29 2011] LINKS House of Graphs, Cubic graphs Jason Kimberley, Connected regular graphs with girth at least 6 M. Meringer, Tables of Regular Graphs M. Meringer, Fast generation of regular graphs and construction of cages, J. Graph Theory 30 (2) (1999) 137-146. [Jason Kimberley, Jan 29 2011] CROSSREFS From Jason Kimberley, May 18 2010 and Jan 29 2011: (Start) Connected k-regular simple graphs with girth at least 6: A186726 (any k), A186716 (triangle); specified degree k: A185116 (k=2), this sequence (k=3), A058348 (k=4). Connected 3-regular simple graphs with girth at least g: A185131 (triangle); chosen g: A002851 (g=3), A014371 (g=4), A014372 (g=5), this sequence (g=6), A014375 (g=7), A014376 (g=8). Connected 3-regular simple graphs with girth exactly g: A198303 (triangle); chosen g: A006923 (g=3), A006924 (g=4), A006925 (g=5), A006926 (g=6), A006927 (g=7). (End) Sequence in context: A135250 A006926 A185136 * A185336 A125709 A203112 Adjacent sequences:  A014371 A014372 A014373 * A014375 A014376 A014377 KEYWORD nonn,more,hard AUTHOR EXTENSIONS Terms a(16) and a(17) appended, from running Meringer's GENREG for 18.6 and 530 processor days at U. Ncle., by Jason Kimberley on May 18 2010 Term a(18) from House of Graphs via Jason Kimberley, May 21 2017 STATUS approved

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Last modified March 21 20:18 EDT 2019. Contains 321382 sequences. (Running on oeis4.)