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 A185244 Number of disconnected 4-regular simple graphs on n vertices with girth at least 4. 17
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 15, 35, 247, 1692, 17409, 197924, 2492824, 33117880, 461597957, 6709514218, 101153412903, 1597440868898 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,19 LINKS FORMULA a(n) = A185344(n) - A033886(n) = Euler_transformation(A033886)(n) - A033886(n). a(n) = A185044(n) + A185245(n). CROSSREFS 4-regular simple graphs with girth at least 4: A033886 (connected), this sequence (disconnected), A185344 (not necessarily connected). Disconnected 4-regular simple graphs with girth at least g: A033483 (g=3), this sequence (g=4), A185245 (g=5), A185246 (g=6). Disconnected k-regular simple graphs with girth at least 4: A185214 (any k), A185204 (triangle); specified degree k: A185224 (k=2), A185234 (k=3), this sequence (k=4), A185254 (k=5), A185264 (k=6), A185274 (k=7), A185284 (k=8), A185294 (k=9). Sequence in context: A009773 A325912 A185044 * A329920 A006929 A216613 Adjacent sequences:  A185241 A185242 A185243 * A185245 A185246 A185247 KEYWORD nonn,more,hard AUTHOR Jason Kimberley, Feb 22 2011 EXTENSIONS a(31) appended by the author once A033886(23) was known, Nov 03 2011 a(31) corrected by the author, Jan 05 2013 STATUS approved

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Last modified June 12 08:13 EDT 2021. Contains 344943 sequences. (Running on oeis4.)