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A370428 Connected domination number of the n X n king graph. 2
1, 1, 1, 4, 5, 8, 12, 15, 20, 24, 28, 33, 39, 46, 52, 58 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
In other words, a(n) is the minimum number of kings that can be placed on an n X n chessboard such that (i) the occupied squares form a single connected component, and (ii) every square is either occupied by a king or adjacent to one that is.
a(17) <= 67; a(18) <= 75; a(19) <= 83; a(20) <= 92.
LINKS
Eric Weisstein's World of Mathematics, Connected Domination Number.
Eric Weisstein's World of Mathematics, King Graph.
CROSSREFS
Sequence in context: A188095 A190675 A188077 * A027975 A011980 A260163
KEYWORD
nonn,more
AUTHOR
Alexander D. Healy, Feb 24 2024
EXTENSIONS
a(13)-a(16) from Andrew Howroyd, Feb 25 2024
STATUS
approved

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Last modified June 22 15:48 EDT 2024. Contains 373589 sequences. (Running on oeis4.)