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A165656 Number of disconnected 6-regular (sextic) graphs on n vertices. 8
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 (list; graph; refs; listen; history; internal format)
OFFSET

0,17

LINKS

N. J. A. Sloane, Transforms

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: A157928 (k=0), A157928 (k=1), A165652 (k=2), A165653 (k=3), A033483 (k=4), A165655 (k=5), this sequence (k=6), A165877 (k=7), A165878 (k=8).

Sequence in context: A143600 A184958 A145076 * A145773 A197195 A072324

Adjacent sequences:  A165653 A165654 A165655 * A165657 A165658 A165659

KEYWORD

nonn,hard,more

AUTHOR

Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Sep 28 2009

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.