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A185354
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Number of not necessarily connected 5-regular simple graphs on 2n vertices with girth at least 4.
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9
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1, 0, 0, 0, 0, 1, 1, 7, 388, 406824, 1125022326, 3813549359275
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history;
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internal format)
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OFFSET
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0,8
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LINKS
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FORMULA
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This sequence is the Euler transformation of A058275.
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MATHEMATICA
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A058275 = Cases[Import["https://oeis.org/A058275/b058275.txt", "Table"], {_, _}][[All, 2]];
(* EulerTransform is defined in A005195 *)
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CROSSREFS
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5-regular simple graphs on 2n vertices with girth at least 4: A058275 (connected), A185254 (disconnected), this sequence (not necessarily connected).
Not necessarily connected k-regular simple graphs with girth at least 4: A185314 (any k), A185304 (triangle); specified degree k: A008484 (k=2), A185334 (k=3), A185344 (k=4), this sequence (k=5), A185364 (k=6).
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KEYWORD
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hard,nonn,more
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AUTHOR
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STATUS
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approved
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