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URL: https://oeis.org/A002563

⇱ A002563 - OEIS

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A002563
Number of nonisomorphic solutions to minimal dominating set on queens' graph Q(n).
3
1, 1, 1, 3, 37, 1, 13, 638, 21, 1, 1, 1, 41, 588, 25872, 43, 22, 2
OFFSET
1,4
REFERENCES
W. Ahrens, Mathematische Unterhaltungen und Spiele, second edition (1910), Vol. 1, p. 301.
W. W. R. Ball and H. S. M. Coxeter, Math'l Rec. and Essays, 13th Ed. Dover, p. 173.
Teresa W. Haynes, Stephen T. Hedetniemi and Michael A. Henning (eds.), Structures of Domination in Graphs, Springer, 2021. See Table 14 on p. 368.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Matthew D. Kearse and Peter B. Gibbons, Computational Methods and New Results for Chessboard Problems, Australasian Journal of Combinatorics 23 (2001), 253-284.
M. A. Sainte-Laguë, Les Réseaux (ou Graphes), Mémorial des Sciences Mathématiques, Fasc. 18, Gauthier-Villars, Paris, 1923, 64 pages. See p. 49.
M. A. Sainte-Laguë, Les Réseaux (ou Graphes), Mémorial des Sciences Mathématiques, Fasc. 18, Gauthier-Villars, Paris, 1923, 64 pages. See p. 49. [Incomplete annotated scan of title page and pages 18-51]
CROSSREFS
See A002564 for number of distinct solutions.
A075458 gives number of queens required.
Sequence in context: A210508 A073236 A372478 * A140448 A128061 A176240
KEYWORD
nonn,more
EXTENSIONS
a(16)-a(18) from "Structures of Domination in Graphs" added by Andrey Zabolotskiy, Sep 02 2021
STATUS
approved