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%I #15 Jan 19 2022 14:32:48
%S 0,1,1,2,6,2,1,9,9,1,1,4,8,4,1,4,8,1,1,8,4,3,89,3,35,3,89,3,1,56,76,9,
%T 9,76,56,1,2,16,17,1,1,1,17,16,2,9,64,1,130,9,9,130,1,64,9,4,780,6,16,
%U 60,8684,60,16,6,780,4,1,304,229,1,89,493,493,89,1,229,304,1
%N Array read by antidiagonals: T(m,n) is the number of minimum total dominating sets in the m X n king graph.
%C The minimum size of a total dominating set is the total domination number A303378(m, n).
%H Andrew Howroyd, <a href="/A303335/b303335.txt">Table of n, a(n) for n = 1..435</a>
%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/TotalDominatingSet.html">Total Dominating Set</a>
%e Table begins:
%e =========================================
%e m\n| 1 2 3 4 5 6 7 8 9
%e ---+-------------------------------------
%e 1 | 0 1 2 1 1 4 3 1 2 ...
%e 2 | 1 6 9 4 8 89 56 16 64 ...
%e 3 | 2 9 8 1 3 76 17 1 6 ...
%e 4 | 1 4 1 35 9 1 130 16 1 ...
%e 5 | 1 8 3 9 1 9 60 89 45 ...
%e 6 | 4 89 76 1 9 8684 493 1 50 ...
%e 7 | 3 56 17 130 60 493 208 40 32 ...
%e 8 | 1 16 1 16 89 1 40 604 1 ...
%e 9 | 2 64 6 1 45 50 32 1 1192 ...
%e ...
%Y Rows 1..2 are A302654, A350817.
%Y Main diagonal is A303156.
%Y Cf. A303114, A303293, A303378, A332390, A350815.
%K nonn,tabl
%O 1,4
%A _Andrew Howroyd_, Apr 21 2018
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