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A185364
Not necessarily connected 6-regular simple graphs on n vertices with girth at least 4.
9
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 9, 6, 267, 3727, 483012, 69823723, 14836130862
OFFSET
0,17
COMMENTS
First differs from A058276 at n=24.
FORMULA
This sequence is the Euler transformation of A058276.
a(n) = A058276(n) + A185264(n).
MATHEMATICA
A058276 = Cases[Import["https://oeis.org/A058276/b058276.txt", "Table"], {_, _}][[All, 2]];
(* EulerTransform is defined in A005195 *)
EulerTransform[Rest @ A058276] (* Jean-François Alcover, Dec 04 2019, updated Mar 18 2020 *)
CROSSREFS
6-regular simple graphs with girth at least 4: A058276 (connected), A185264 (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), A185354 (k=5), this sequence (k=6).
Sequence in context: A038296 A058276 A184964 * A085678 A256687 A086819
KEYWORD
nonn,more,hard
AUTHOR
Jason Kimberley, Dec 07 2011
STATUS
approved