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A185335
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Number of not necessarily connected 3-regular simple graphs on 2n vertices with girth at least 5.
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9
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1, 0, 0, 0, 0, 1, 2, 9, 49, 455, 5784, 90940, 1620491, 31478651, 656784488, 14621878339, 345975756388
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graph;
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listen;
history;
text;
internal format)
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OFFSET
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0,7
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LINKS
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FORMULA
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This sequence is the Euler transformation of A014372.
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MATHEMATICA
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A014372 = Cases[Import["https://oeis.org/A014372/b014372.txt", "Table"], {_, _}][[All, 2]];
(* EulerTransform is defined in A005195 *)
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CROSSREFS
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3-regular simple graphs with girth at least 5: A014372 (connected), A185235 (disconnected), this sequence (not necessarily connected).
Not necessarily connected 3-regular simple graphs with girth *at least* g: A005638 (g=3), A185334 (g=4), this sequence (g=5), A185336 (g=6).
Not necessarily connected k-regular simple graphs with girth at least 5: A185315 (any k), A185305 (triangle); specified degree k: A185325 (k=2), this sequence (k=3).
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KEYWORD
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nonn,more,hard
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AUTHOR
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STATUS
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approved
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