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Total domination number of the n X n king graph.
6

%I #35 Sep 16 2021 01:55:27

%S 2,2,4,5,8,9,12,15,18,21,24,29,32,38,43,48,53,60,66,72,79

%N Total domination number of the n X n king graph.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/KingGraph.html">King Graph</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TotalDominationNumber.html">Total Domination Number</a>

%H Eric W. Weisstein, <a href="/A302401/a302401.png">Example minimum total domination configurations for n X n king graphs</a>

%F a(n) ~ n^2/7. - _Andrew Howroyd_, Apr 22 2018

%Y Main diagonal of A303378.

%Y Cf. A303156.

%K nonn,more

%O 2,1

%A _Eric W. Weisstein_, Apr 07 2018

%E a(17)-a(18) from _Andrew Howroyd_, Apr 22 2018

%E a(19)-a(20) from _Eric W. Weisstein_, Sep 09 2021

%E a(21) from _Eric W. Weisstein_, Sep 12 2021

%E a(22) from _Eric W. Weisstein_, Sep 15 2021