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 A165656 Number of disconnected 6-regular (sextic) graphs on n vertices. 12
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 5, 25, 297, 8199, 377004, 22014143, 1493574756, 114880777582, 9919463450855, 955388277929620, 102101882472479938, 12050526046888229845, 1563967741064673811531, 222318116370232302781485, 34486536277291555593662301, 5817920265098158804699762770 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,17 LINKS N. J. A. Sloane, Transforms Jason Kimberley, Disconnected regular graphs (with girth at least 3) Eric Weisstein's World of Mathematics, Disconnected Graph Eric Weisstein's World of Mathematics, Regular Graph Eric Weisstein's World of Mathematics, Sextic Graph FORMULA a = A165627 - A006822 = Euler_transformation(A006822) - A006822. a(n) = D(n, 6) in the triangle A068933. CROSSREFS 6-regular simple graphs: A006822 (connected), this sequence (disconnected), A165627 (not necessarily connected). Disconnected regular simple graphs: A068932 (any degree), A068933 (triangular array), specified degree k: A165652 (k=2), A165653 (k=3), A033483 (k=4), A165655 (k=5), this sequence (k=6), A165877 (k=7), A165878 (k=8), A185293 (k=9), A185203 (k=10), A185213 (k=11). Sequence in context: A184958 A145076 A185063 * A145773 A197195 A285602 Adjacent sequences:  A165653 A165654 A165655 * A165657 A165658 A165659 KEYWORD nonn,hard AUTHOR Jason Kimberley, Sep 28 2009 EXTENSIONS Terms a(25) and beyond from Andrew Howroyd, May 20 2020 STATUS approved

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Last modified May 26 10:17 EDT 2022. Contains 354086 sequences. (Running on oeis4.)