login
Number of total dominating sets in the n X n king graph.
3

%I #12 Feb 16 2025 08:33:54

%S 0,11,353,35458,16322279,30158547693,217221533288240,

%T 6223220939472363571,709791800918008570287847,

%U 321673400252458591521699180612,579292884621843116328602359172702605,4146239141804826663870561644604700888044071

%N Number of total dominating sets in the n X n king graph.

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

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TotalDominatingSet.html">Total Dominating Set</a>

%Y Main diagonal of A303114.

%Y Cf. A133791, A302401, A303156, A332391.

%K nonn

%O 1,2

%A _Andrew Howroyd_, Apr 18 2018