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A279404 Independent domination number for queens' graph on an n X n toroidal board. 3
1, 1, 1, 2, 5, 4, 5, 4, 5, 5, 5, 6, 7, 7, 5, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

That is, the minimal number of queens needed to cover an n X n toroidal chessboard so that every square either has a queen on it or is under attack by a queen, but not both.

A279402(n) <= a(n) <= A085801(n).

LINKS

Table of n, a(n) for n=1..16.

Christina M. Mynhardt, Upper bounds for the domination numbers of toroidal queens graphs, Discussiones Mathematicae Graph Theory, 23 (2003), 163-175, DOI:10.7151/dmgt.1193.

FORMULA

a(3*n) = n if n = 1, 5, 7, 11 (mod 12).

CROSSREFS

Cf. A075324, A085801, A279402.

Sequence in context: A249018 A235052 A102066 * A072970 A276320 A011036

Adjacent sequences:  A279401 A279402 A279403 * A279405 A279406 A279407

KEYWORD

nonn,hard,more

AUTHOR

Andrey Zabolotskiy, Dec 11 2016

STATUS

approved

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Last modified March 21 10:13 EDT 2019. Contains 321368 sequences. (Running on oeis4.)