login
Number of total dominating sets in the n X n knight graph.
4

%I #8 Feb 16 2025 08:33:54

%S 0,0,0,15625,7210119,7595819716,38315570995200,907603926752600100,

%T 90471688044300692000805,36477409490805834487688340121,

%U 57078206407327794909123594938975856,349529784665230581716185532814423836231824,8484852661962127775820139948519390269746327643440

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

%H Andrew Howroyd, <a href="/A303155/b303155.txt">Table of n, a(n) for n = 1..15</a>

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

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

%Y Cf. A261752, A287071, A291705

%K nonn,changed

%O 1,4

%A _Eric W. Weisstein_, Apr 19 2018

%E Terms a(6) and beyond from _Andrew Howroyd_, Apr 20 2018